If a person won't date someone with a birth defect,
First, I don't think dating is guaranteed to be a good way to share with someone you are considering for marriage. A date can isolate you, when you need to share as family with various mature children of God who help you find out how to be and how to please God and how to relate in love in marriage and with any and all people. So, isolating yourself with someone more like you can keep you away from the mature people you need to share with.
God is no respecter of persons; so, in case you are concerned that a person has a birth defect, possibly you are letting this keep your attention away from what you really need to be dealing with.
If a person with a birth defect is a growing Christian, this person can help you find out how to love, plus this person could be a good example for feeding your children how to relate in marriage . . . instead of you using marriage more for intimate pleasure seeking. What are you seeking by means of marriage????
You might read and feed on Malachi 2:14-15 about how God seeks "godly offspring". God wants us to not only have physical intimacy, but to reproduce children who are His way in love in their character and who know how to love in marriage. In order to meet God's desire, you will need to be able to tell the difference between a charming beauty and a maturing person who knows how to relate in God's love. You will need, then, to know the difference between lust and love.
Even if a person's birth defect prevents sexual activity, you can adopt . . . if God wants this; trust God to make you honest with Him so you can submit to how He guides you to whoever He knows you belong with.
God is no respecter of persons. But obesity can be outward evidence of an ongoing and uncorrected food abuse problem which can be corrected with God > Hebrews 12:4-11. But, there are many other ways that we all can have self control problems; so we need to not be hasty to single out and criticize someone whose problem shows more obviously than our own problems!!
"He can have compassion on those who are ignorant and going astray, since he himself is also subject to weakness." (Hebrews 5:2)
Some people's sin problems are more obvious than others' are. Food abuse can be easier to spot, than how spouses, for example, abuse one another by arguing and complaining. And, for all I know, there might be medical conditions which really can not be helped so a person is overweight.
So - - - in case the obesity is because the person is abusing food . . . the fruit of the Holy Spirit includes self control. In God's love we have self control with God's own almighty power to make it easy to control how we eat, plus in God's love we have His personal guiding about what and how much to eat, plus He will balance how much He has us doing with how much He knows we need to eat. And God will satisfy and guide us so His love is satisfying us enough so we don't depend on food for company in our tummy.
And the self control of love will also keep us out of the abuse of arguing and complaining and unforgiveness and dominating pleasure drives of different sorts of lust, and bitterness and ongoing suffering about past hurts, and selfish anger and self-righteous anger and frustration and boredom and loneliness. These all can be cured by the Holy Spirit's self control in our new nature in Jesus > 1 John 4:17.
So, by the way > in case a person does not have self control with food, his or her lack of love's self control could also be making him or her weak enough to give in to other destructive things, including unforgiveness and guilt-tripping oneself, instead of submitting to our Father for real correction of His love > Hebrews 12:4-11; and these anti-love things can keep the person from being able to relate well in marriage.
And smart talking and charming is no substitute for getting mature self control. Even so, someone with a food self control problem can be able to feel for others who have been hurt and neglected; while we are making progress with our own problems, we can feel for others and help them with how God is helping us (Hebrews 5:2, Ephesians 6:1). But we do need to grow in Jesus and His love's self control so we can do well in marriage.
So, I would not evaluate an obese person only by outward weight, but is the person getting somewhere so God's correction is getting rid of the weight of sin which can multi-task in many ways of abuse in a person?
Even if you do not belong with each other, you can help one another with your different problems and troubles. But I would think it is wise to marry someone who is obviously growing and making progress in whatever one's sin problems are, so that we have more and more of love's power to make us able to relate well in God's love.
emotional baggage from bad experiences with the opposite sex,
This indeed can mean the person has not become strong in God's love which makes us able to forgive and to not give in to being tormented about our past. God's love is almighty to easily and breezily and beautifully keep us immune from cruel and sin-sick emotional stuff. So, in case you find out that a person is continuing in unforgiveness and its weakness to keep giving in to emotional torment, have compassion for the person, but pray and expect God to correct the person's character to be "strong in the Lord and in the power of His might" (Ephesians 6:10) with all of us > we all need to get more real about this, don't we?
God is no respecter of persons.
uncontrolled mental problems,
God has given us the Holy Spirit "of power and of love and of a sound mind." (in 2 Timothy 1:7) So, in case a person has mental issues which keep the person from loving the way Jesus wants, this is deeper than just a physical brain organic biochemical problem, because love is spiritual and no physical problems can stop us from loving the way Jesus in us has us loving while pleasing God. And God can easily cure us of what in us is keeping us from loving the way the Bible says to love and relate.
It depends on why the person is not attractive to you. If it is because you don't see what you hope to use for pleasure, this is selfish and dangerous, and God is no respecter of persons.
And God seeks "godly offspring", as I have offered. So, if a person is maturing as an example who can bring up children to be real with God and know how to love in marriage, I hope this would make the person attractive to you
no matter what the person looks like ! ! ! But even if such a person is so attractive, still you need to pray and make sure with God about if this is our spouse or someone to help you along the way
God is no respecter of persons, but we do with any person need to make sure with God about who He knows we belong with. So, if we have issues about race, we need to trust God to correct us and make us honest in how we evaluate . . . or else, our dishonesty and selfishness could ruin how we evaluate who we marry.
If I have racism in me keeping me from being able to love, how can I have love's good "senses" (Hebrews 4:15) to know who I really belong with??
So . . . some of these things you mention are reasons why it might be wise to not hurry to marry a person; but other items, if they are a problem for you, can mean you need to submit to our Father for real correction so you become able to love the way Jesus wants, and then you can do well with whoever you belong with. And as you get honest and real with God, now you can be attracted to someone else who is real with Jesus