I think this is pretty normal in counseling, especially if you have low self-esteem, which it sounds like you do. Your T has had many clients who are similar, and it (hopefully!) doesn't bother her. Have you been able to talk about why you apologize so much? I know it's hard to admit to someone else that you feel like you aren't worth their time, but it can be good if you allow her to know what you're feeling and allow her to help.