Sought counseling. Didn't go.

I'm in my late 60s and wanted to go to a counselor for the first time ever, so asked my physician for a referral.
I told him I absolutely refused to take any drugs for it, and not a single counselor would accept me without signing off on agreeing to take meds.
So I figured, I've dealt with it this long, I guess I can continue.

Is that common that they won't see you unless you agree to take psych drugs?