In Australia we are slightly different Medicare pays a set fee. Now if the therapist accepts that fee 'bulk bills' or has you pay more 'the gap fee' is up to them. My psychologist was referred to me by the Dr at the clinic I went to for a referral for GID so yeah go figure.
My psychologist himself I don't think we saw eye to eye a lot of times (but I do know others who have after their second session been approved). With any therapist it is a two way interview process, you're interviewing you while they're interviewing you so maybe it was just personalities on our part.
I did have problems with him continually asking why I didn't frequent trans* friendly clubs. As a former bartender with 10yrs experience sweat and stale alcohol is not my idea of a good time. Sometimes I felt like holding him outside his window and asking him to see the world from a different perspective occasionally

. (the world is not pure black and white, there is a whole lot of grey plus a few other colours involved).
Once I had my neurologist speak to him and he realized that my support system is not what most people have, but they have been behind me 110% from the beginning, things did change for the better. His first words at the final session where
"You know what they say about girls who wear red boots." So yeah mine was a mixed experience, and he did tell me to come see him if I have any trans* related issues, something I will take him up on that and my surgery letter (if) will be all. While he can be good I probably wouldn't recommend him for someone who has a similar personality to me