I think that if you want to do it, you should. I can see where your mother is coming from, but in the end it's your life, your friendships, your story, so you get the final say. Your mother should respect your decision, in my opinion. Maybe it helps if you talk to your mother and tell her that you understand her worries, but that this is important to you and why.

Also, maybe there's something you can do to alleviate her worries a little, like publishing under a pseudonym and anonymizing things where possible. Maybe you can try a different format, such as using your story as the starting point for a novel rather than an autobiography. But in the end the most important thing is to do (or not do) this in a way you feel comfortable with, without letting yourself be influenced by guilt or other kinds of outside pressure.