Hi - I'm sorry you had to stop working with your counsellor so suddenly, and it's true the NHS can be very cack-handed about these things. However, you would probably only have got six sessions with the counsellor which would not have got you very far, and it always does feel like it helps more at the start than later, so my guess is you'd be feeling the counselling wasn't working any more if you'd been able to stay with that. Also, although you obviously felt positive about the counsellor, most such people working through GPs don't have a very in-depth training and this person, while obviously helping you in an immediate way, might not have the ability to help you get to the deepest stuff.
I know it's really hard talking about the difficult stuff, but if you're going to be helped to get better, that's the stuff you need to talk about. Tell them about the pain in your head and neck and the funny feeling in your eyes as well as about the emotions. If you can be really open and honest with them, and go to those places you'd rather not go to, you are much more likely to have real improvement in your depression in the end. It's not fast work, however.
If you are really dissatisfied in a few months time, the other thing you can do is go to a private psychotherapist. This costs money, of course, as they are not employed by the NHS and get no funding from them. If you do go down this route, do be sure to find someone properly qualified, registered and experienced. Go to http://www.psychotherapy.org.uk/ for psychotherapists registered with the UK Council for Psychotherapy or http://www.bcp.org.uk/ for the British Psychoanalytic Council.