I personally don't think details, other than name, address, and phone number of anyone's therapist is all that identifiable either. They seem no more unique and than anyone else to me and I doubt one would be able to identify a therapist any more than a client from these posts.
Plus, I know someone who has seen one of the two I see. We describe the woman very differently.
(I actually never really described how I saw the woman to the other client, but the other client/my acquaintance talked about her therapist interactions quite a bit - and if someone heard my description and heard the other client's description - I doubt anyone would think we were speaking of the same person).