I think it was the case that if you needed medication or see a psychiatrist. Bear in mind psychiatrist presribe, and pyshologists do not. I wouldn't have thought CBT or counselling should be a problem. Likewise its though that in any year up to 40% of the population suffer from depression.
The dificulty here is that following the Germanwings accident there may be moves to tighten up things, having said that Lubitz was taken medication, seeing a Psychiatrist and not entirely honest about his health.
My advice is to have a chat with you local AME or write to the CAA. You might also check with your GP, how he has described your condition, as I note that GP's tend to use the term, 'patient has issues with her mood', I presume there is a difference between mood and depression, the later is probably diagnosed by a clinical psychologist or psychiatrist.
Finally this not the first time I and others have mentioned this. In the meantime think about your life syle in terms of your diet, fitness, weight and take up a new sport or hobby. Alot of doctors dish out tablets for depression, but myself and other think that a regime of rigorous exercise is probably the first step out of depression as well an antidote. Exercise apparently releases a natural happy drug in the body. Finally moderate or heavy drinking can contribute to your mood adversely, and I heard that some people have felt happier by giving up drinking or only drinking occassionaly.
I hope that is of use to you.