Thanks everybody for the replies. I must admit it was a very difficult experience, far worse than I had anticipated. Warning: it took me a whole day to calm down and I am still quite agitated so my post might be a bit over-emotional.
Firstly, he was completely emotionless, which I wouldn't have minded, but then he avoided my questions about linking NHS with private care and repeatedly said how difficult the process is here in Wales (compared to England). I was quite annoyed since he had no constructive approach to it (whilst I was doing my best to understand how to move the process a little faster so I won't lose my mind).
Then he said he'd have to force me to talk to him about my life before he would even consider making a referral to the Welsh Assembly which apparently needs to approve any referral to a psychiatrist. Now I wouldn't mind talking to a professional about my life, why I need to transition etc etc. but I feel that what I told him today should be enough to persuade anybody to make me see a psychiatrist. Especially since I have to wait for another three weeks to see him alone.
And when I said that all of that would take years and I don't fancy wasting all that times when I can have a more practical and healthier approach with the help of the private clinics, he went ahead and said that I should not concentrate on how long it would take but on the fact that I have just started the process and it's better than nothing.
At that point I was so shocked that I had tears in my eyes. I told him that in no way am I trying to make the change happen tomorrow or in the next few months as I know that it's a process and not a quick fix, but he just wouldn't listen and said that I should instead concentrate on preparing for talking about my life and history in a double session.
I wasn't even planning to go through the whole process with the NHS but wanted to find out whether they'd be willing to prescribe hormones if any of the private clinics recommend to do so. But he obviously decide to just not answer that and just said that if they would prescribe any hormones they're unfamiliar with, they will not be able to help anyway.
And he did all of that whilst treating me like a child. I don't remember the last time I was treated that way and I was far from pleased that I was reminded just how painful it can be.
I was so upset that I felt like punching a wall when I arrived home. What completely amazed me was that his first reaction to me saying that I am a man in a female body was that they have treated quite a few trans people. I would think he'd then know better how to handle it.
Sigh. Sorry about this long post, I needed to let off steam...