Manual and trying to change a pet

I’m good with the manual when it comes to humans but what about pets? I have a kitten that bites sometimes, and I really, really, really don’t like it. It crosses a boundary line for me. I’m trying to correct her behavior, but it’s not working. (I know that’s a thought.) I did some interesting models and realized that I could be satisfied and not frustrated with her if I accepted her for who she is, but 1) it feels irresponsible to just let a cat go around biting and 2) I don’t want it in my house. Thoughts?