Being depressed messes up our thought processes but just accept it as a symptom and not as "yourself".
Just try to do one thing. Don't rush yourself. Be gentle with yourself. It's a struggle to do anything in that circumstance so anything you accomplish is a big victory.
I agree that pet therapy should be helpful. Love helps motivate oneself outward to another creature. Plus they're just so cute.
I hope you find a new therapist soon.
Good luck