I doubt very much if you could be legally bound to not discuss your hair transplant at all. In some situations, forums like this might be the only places a patient can turn to, and nobody has the right to withhold the potentially valuable advice from you. To be safe, it's probably best not to say who your doctor was, but you can describe your situation.
But of course I'm not a lawyer and I haven't read your contract. I'm just saying what seems reasonable.
It would be prudent, though, to ensure that you have exhausted all avenues of assistance with the clinic who performed your transplant.