Picard notices that Q is sad that he can't mark Picard with visible hickies, so Picard starts introducing Q to everyone as his husband. "Mr Ambassador, we're honoured to have you onboard. This is my first officer, Commander Riker, and my beloved husband, Q" he's especially pleased when Lwaxana comes onboard like "oh, Mrs Troi, have you met my darling beloved husband? Q, come say hello to Deanna's mother"
Q is more than content with that solution, in fact he melts into a puddle every time Picard says the words “my husband”. internally he’s all “holy shit that’s me!!!!” also sometimes he just loves hanging on Jean-Luc’s arm and being nothing but the Captain’s civilian spouse, not a representative of the continuum, not a god, just Captain Picard’s Husband
also listnen, Picard thinking that this’ll solve his little Problem with Lwaxana but then she and Q HIT IT OFF and she becomes like his third-favorite mortal and they tell each other anecdotes abt the wild shit they did (bc they have a wildly similar sense of humor) and exchange fashion advice and Picard suspects they gossip about him and the next time Lwaxana comes on board she greets Picard with “ah Jean-Luc!! where’s that husband of yours”