I´ve had similar thoughts and still have and I´ve told both my T and my Pdoc I have suicidal thoughts for example. Even if you perhaps don´t have that much faith in them I think you should tell them or e-mail them if you don´t want to address them directly. If you are within some kind of health facility there must be other people to help you if you don´t think those who see you are a good fit.

I don´t know about the patient rights where you live but where I live patients always have a right to see other doctors, therapists and so on if the ones you see aren´t a good fit. You should never have to accept feeling ill.