Hi, Happycheeks.
It's great and super encouraging that you could find some other ways to relieve yourself without resorting to physical damaging your body.
About your GP, even if he/she prescribes you anti depressants, he/she can't force you to take them, right? I don't know, I would consider the pros and cons of speaking with the GP. Sometimes it helps me to imagine the worst case scenario (being realistic) and whether I can cope with it or no.
Good luck!