All relationships need to have compromises so that they can properly function. While it is always good when the two of you are compatible, the sad reality is that no two people are a 100% compatible with each other, which is why it is important to be able to make compromises on certain issues, so that it becomes possible to "coexist" with one another.
If you or your partner is not willing to compromise on any issue, that is going to make things impossible to work out between you in the long-run. Even simple issues, like for example which type of coffee to buy for home would become an issue, as often times you may have different tastes or even budgetary requirements. Try to talk to your partner about this if it is a recurring issue.