I would agree. Feelings come and go like the wind, so we should not let our decision be based upon them, but rather how we feel will change based upon the decisions that we make. If you spent a year taking care of someone, then an emotional connection would form between you and them. If every day you choose to act in a way that shows your love for your wife regardless of how you feel, then an emotional connection will follow. How you feel when you say your vows is not the height and depth of your marriage, but rather it will continue grow as you continue to love either other.
Doubts about whether something is meant to be is different from doubts that stem from red flags. If there is a good reason that has to do with her in regard to why you broke up with her, then that should give you pause. However, God does not have a history of seeking out the most qualified people to accomplish great things in service to Him, so what He wants is not out qualifications, but rather God gives us the ability and what He wants is our availability. So it is not an issue is not whether you are the most qualified person to love her, but whether you are available to commit to doing so.
Love is not the same thing as being in love. Being in love is infatuation, which comes and goes, but you can always choose to love her.
I seriously would recommend seeing a Christian counselor for premarriage counselling if you decide to go in that direction. It it is important for both of you to have realistic expectations of what you are getting into. Marriage is not about what you get out of it, but about what you put into it, about laying down your life for the other, so if she is idolizing what she expects to get out of it, then it will likely lead to problems.
You should not go into marriage expecting the other to change, but you should be expecting that you will change. Arranged marriages in India as just as successful as chosen marriages in the US, so it is about two people living by what they committed to do.
I do not think that they have given good reasons for saying no because they have focused on how you feel and not on what you are able to commit to regardless of how you feel.