Anxiety Medication

So I’ve been going to therapy because I have severe anxiety and depression. My therapist asked me about trying medication and I think I want to do it. I’m a little scared but I really want/ need it to work for me. My mom also has depression and anxiety along with my sister. They both take medication. But my mom doesn’t really want me to take medication. I don’t know why but I feel its best for me. I know she will still support my decision. But I don’t want her to think that I haven’t tried everything, because I have, and nothing seems to help. My mood is a roller coaster and it’s so up and down with super high highs. And super low lows. And when I do get happy again I just worry about the next low and how bad it will be because they just keep getting worse and worse which this isn’t helping my anxiety. I also have trouble with motivation and I know that medication can help with that. I’m 15 by the way. Any advice you might have for me?