Hi! I can understand that you are reacting the way you were taught growing up, but I don't think a relationship is healthy if one person always has to be the one to give in. As you see, it can lead to feelings of anger and resentment.
I suggest you talk to a therapist about your situation and maybe even role play telling other people what you want and need. You might want to ask if a relationship is a good one, too, if you and the other person are constantly needing the opposite things.