I did this with a psychiatrist:

Pros: helped me get closure on the whole affair

Cons: complaint was found baseless by state medical board as she “did nothing medically wrong” (narrowly true, not true mental health wise); a therapist on hearing of this complaint became convinced I would report her, which pretty much ruined that relationship when she told me she kept more thorough notes for my sessions than any other client in case I reported her

Only do it if you can deal with the cons.