I'm in England, too. I went to the doctor, and told her about my depression and anxiety, although didn't go into too much detail. She set me up with a gateway worker (I guess as I didn't appear to be a threat to myself, there was more time to set me up with the gateway worker rather than send me straight to some form of therapy).
I then met him about a week later, and we spoke in detail about the problems I've been having, and decided the best course for me to take. He didn't want to prescribe meds because he wanted to try and fix the source of the problem, so I've been seeing a counselor instead.
I hope that helps
Feel free to ask any questions.
I hope your doctor visit helps!