Why are you still seeing the psychologist if she was for diagnosis purposes to help your family doctor treat you? I'd take the opportunity, since you're not thrilled with the psychologist and her recommendations to go to a psychiatrist and see what s/he has to say?

Everyone is going to see you "differently" when first meeting you, even doctors/psychologists. You aren't going to "die" of psychological problems like with the physical PCOS so I wouldn't put too much store yet in who's right/wrong and would trust my family doctor more to "know" you enough to be able to tell if on the whole you're as "sick" as another doctor says or not. Go to someone he more or less agrees with (or someone you like who speaks in a way you are comfortable with) and maybe explore therapy with that person. I'd give this present psychologist a pass and move on to finding someone more compatible.