Should a therapist be able to require homework and deny you an appointment if you say no?

So I'm 16 so I cant go to therapy or get a therapist by myself. My mom controls the scheduling and gets me the therapist. I've been seein this therapist for a few months and shes been very pushing of me doing hw. But my last appointment (Jan 29th) she refused to schedule an appointment with me because I wouldn't pick a homework to do that she required. Now I can't go to therapy because my mom agrees with her. I dont know what to do. I dont see my psychiatrist till end of March.

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