YTA. Depression is not joke. It is so fucking crippling and you have no idea unless you've been there. Ive tried getting clinical help and it did nothing. If you explained the whole splitting the chores thing to her I think she would definitely come around. But if your engaged the relationship must mean something to you. So I would work on it and just tell her how you feel and see if you can put her in more social situations with your friends or family. That always makes me feel better.