I am rather appalled by the number of people on this thread encouraging the OP to be an easily offended, hyper-sensitive person. There is just no grounds in Scripture whatever for the idea that you can walk with God and be such a person. To the degree a person is easily offended and sensitive, to that same degree they are occupied with Self. What do I mean by "Self"? I mean that person you were before you were saved; that person occupied with the impulses of the flesh, who is radically self-interested, who craves being praised, and appreciated, and respected; that person who thinks only of the temporal and not the eternal, who is in rebellion against God, living according to the ideas, philosophies, and values of the World (see Ephesians 2:1-3). Paul called that person the "old man" (Romans 6:6) and described those living according to the "old man" as "carnally-minded." (Romans 8:5-6) No one can walk well with God and live according to Self. Self is the enemy of God (Romans 8:7); Self seeks to be the center of one's life rather than God; Self is incorrigibly focused on serving itself and cannot ever be made to serve God. Even when Self does what is moral, and pious, and charitable, it is always ultimately serving itself.
Being easily offended, being "sensitive," is just the consequence of giving room to Self. And the more room Self is given, the touchier one will be. Self, is terribly self-centered, narcissistic, vain, and proud. It wants to be the best in the room, to be praised at every turn, to be respected by all, to be admired. Now, few people want to admit they are actually like this, that the reason they are withdrawn, and sensitive, and easily offended is because they are controlled by Self. But a couple of probing questions can expose Self pretty easily: When I get offended, why am I offended? What part of me is taking offense? If I don't have any pride, if I don't want to protect my ego, how can I be offended? "Oh," we say, "I'm not the problem. So-and-so was wretched to me; he was rude, and cold, and arrogant. He's the reason I got offended. If it weren't for him, I'd be fine." But this is just a deflection from the truth. If you were "dead to Self," to your "old man," as Paul says a Christian should be (and, positionally, is) (Romans 6:6), if you were taking up your cross and dying to your Self on it as Christ says every one of his disciples must do (Matthew 16:24-25), the nastiness of others would roll off you like the water off a duck's back. To the degree this doesn't happen, to that same degree you're living under the power of the "old man," of Self, and so are living in contradiction to the way God commands you to live.
I sometimes yield to my "old man" when I'm driving. There's something about the way people behave when they are in their car that can really get up my nose. I like to think I'm learning to die to my Self more and more as the days pass, but when somebody does something really obnoxious when they are driving that involves me, boy, am I tested in the matter of dying to myself! I don't have to chew iron and spit nails when I'm cut off in traffic. I can live in the truth of my death to Self - or not. I get cross at other drivers ultimately because I think I deserve to be better treated, to be better respected, when I'm driving. But if Jesus is my Lord and I have yielded up myself (and all my rights) to him, if God is truly in control of me, I won't be going around thinking I deserve to have this or that right respected. Certainly, this is how Jesus behaved. He didn't stamp his foot and demand he be treated as he deserved to be treated. He didn't scream about his rights being trampled. No, his response was very different:
Isaiah 53:7
7 He was oppressed and He was afflicted, Yet He opened not His mouth; He was led as a lamb to the slaughter, And as a sheep before its shearers is silent, So He opened not His mouth.
If I claim to be a follower of Jesus, then I can do no less. If I want to be a vessel sanctified and meet for God's use, then Self must die. Any believer who thinks its okay to be sensitive, and easily offended, and withdrawn does not understand what it means to truly walk with God.