@ConcernedDaughter1,
I don't think you have betrayed your mother. You don't have to agree on everything and you don't have to have the same feelings about everyone. You are two separate people. You don't have to adopt your mother's beliefs or perspectives. You are an individual with your own thoughts, needs, wants, etc. She also doesn't need to know everything you think, say, or do. You can still love both. And I applaud your statement, "I did this to do what was best for me regarding the situation." Your first need is to take care of yourself, whatever that looks like.
Can I ask how old you are?