Mine wouldn't. I think it is even in her paperwork about not friending clients. If she did I would think it was a mistake or she had gone completely nuts. I wouldn't accept even if she didn't have that rule. I struggle with social media sometimes anyway when people act super happy and I am depressed, even though I know everyone puts an idealized self out there. I don't get jealous of my therapist's friends, but I prefer to not know too much about her.