Thanks for replying, Perna. There is a "counselling and advisory service", but I checked the website again and it seems they do indeed kick you out after ten sessions:
Including initial consultation sessions, individual contracts will involve up to a maximum of 10 sessions at the end of which both you and your counsellor will review the experience and conclude the work or discuss other possible options.
Due to resource constraints the service cannot provide open-ended individual counselling. Where this option is considered the most appropriate your counsellor will provide information on external agencies which may be able to offer this.
For all I know, I might not even need that much, but feeling "I have to fix myself in ten weeks" would put a lot of pressure on me, I'm sure.

I can see why they don't offer open-ended counselling, though.