I understand where everyone is coming from booking appointments for you and whatnot, obviously they want to do what's best for you, or what they think is best for you. Though they really should be asking you about this first and including you in the decisions on your treatment.
I understand your frustration, though. Having people dictate your life for you and make decisions on your behalf is horrible, and in my experience all it's done for me is make me feel like I cant make my own decisions and need to consult someone else before doing things. Maybe the reason I'm so indecisive is because I've constantly been told, or have people imply to me, that if I make my own decision I'll regret it or that it's the wrong choice, and now I can't be confident in anything I decide to do.
I've had similar things happen to me. A big one is my mental health treatment -until I was 16 professionals would believe what my parents said about how I was feeling and why I was feeling that way, and whatever I said wasn't taken seriously or they seemed to think I was lying to get attention when I tried to explain the truth. Even now what my parents have said in the past influence how they view my case, and my parents still have the power to downplay how I'm feeling to professionals who immediately seem to take my parents side and think I'm faking some, if not all of my mental health problems. Sorry for the rant, but I thought it was somewhat relevant to having your life controlled -especially when it's your parents, everyone seems to think they know best about how you're feeling/thinking even when a lot of the time they don't know as much as everyone thinks.
My main problem with having my life controlled was my dad telling me how I was allowed to have my hair cut and styled. I wasn't allowed to part it differently until I was 9, and the first time it was ever cut was a trim when I was the same age. I wasn't allowed a proper cut until I was 12, and even then it was only an inch or two. When I was 15 I was finally allowed to do what I wanted with it and had it cut shoulder length, but even then everyone was telling me that if I did have it cut short I'd regret it and that it'd take forever to grow back. I did it anyway and loved it, and finally having my hair cut the way I'd wanted for several years was great. My dad still tried to tell me how to cut my hair yesterday though -he said I was only allowed a trim. So I had it cut just below my chin, and when I have my hair wavy like I usually do it's chin length. Because it's my life, and in my last month or so of being here I'm not going to let someone else live it for me and tell me what I can or can't do.
If it's possible, sit down with your parents and let them know how it makes you feel that they're making your appointments for you, visiting your GP for things about you without you being there too, and anything else that you feel is controlling your life. Tell them what your therapist said about driving your life, and that it'll make you feel better to have some control (but still have them involved in some decisions and discussions, so they don't feel completely shut off and uninvolved). If you have any problems like I do with my dad being the decision maker on my hair, you should definitely mention that too. If they don't want to compromise with you, you could just start making the appointments yourself and taking charge anyway, like me getting my hair cut incredibly short when my dad said to only get it trimmed. Though obviously that has its own repercussions which you should consider, and it can take some time and courage to finally reach the point of "fuck it". If you're in the UK and over 16, you can legally visit doctors and other professionals without your parents being present, but I'm not sure how this differs in other countries.