I think being able to ask for/talk about/reach compromises on things that are emotionally significant for you, is an excellent measure of how well you communicate, how much intimacy you have achieved, and whether you are compatible.
If you feel that you can't ask for something that is important to you, there is a barrier in the relationship somewhere (or in your own feelings) and you are not being fully open/authentic about who you are and what you need. This will eventually turn into resentment and hurt the relationship.
If your SO is unwilling to discuss/make accomodation of any kind for things that are really important to you, there is a lack of respect from the SO, or a fundamental incompatability that you will either have to accept or break up over.
If you cannot maintain a relationship unless your SO agrees to every-single-thing you ask, no matter how big or small, then there is a lack of respect from you towards SO.