All he is asking you to do is send an email asking HOW you would go about getting his name off of your account. He is not saying you have to actually take his name off of the account.

I'm an attorney, not a therapist, but I can see a professional not wanting to work with someone who will not do anything to improve their situation. I have "fired" clients for that before. I give them advice; they refuse to follow the advice because they "can't." The reality is they won't. Bad stuff happens and then they want me to fix it or they blame me for not stopping the disaster. Your T cannot force you to do anything, but he can set his own boundary of not continuing therapy with you just to watch you drop further and further into the abyss because you "can't" do anything to take control of your life and stop the free fall.

Why not just take this one tiny step of sending the email? What do you have to lose? Your H does not have to know, and you do not have to actually take him off yet.