I'm a forever DM, as a favor to all DMs out there, please don't use DND for therapy. We're not therapists, we're storytellers. We're just as likely to make things worse.
Ttrpg's can definitely be used by therapists (e.g.see
https://gametogrow.org/ ) but people in general should not underestimate the skill and training professional therapists bring to the table. Just playing an rpg is not therapy.
I'm a forever GM too, and I made this meme referring to a player in my groups. She's an amazing player and I include her as often as possible. The point of the meme was not really to highlight that people use TTRPGs as a therapy replacement, though I definitely know that some might try that and I agree with you that it's not a good idea.
I’ve never played a TTRPG, but I noticed that the first person said DM and you said GM. Are they interchangeable? Or is DM specifically only for D&D because of dungeon? Is there bad blood between people who say GM vs DM? Is it like crips and bloods?
The phrase "Dungeon Master" is a registered trademark[1] by the rights holders of Dungeons and Dragons. DM is the abbreviation of that, and most likely safe to use.
Game Master (GM) is used as a generic (and game agnostic) term.
Edit:
I have (twice) edited this now after additional information from others (thank you Kichae for the link to the Dungeon Master trademark) was posted on this thread.