Honestly, I’d give it another few months - get through spring. I’ve seen what I call the 3-month slump happen too many times - I went through it and have seen numerous others experience it. It hits around 3-5 months in, where it’s more than the expected anxiety and stress for first-time expats, and it lasts about 6-9 months, in almost every case i’ve seen (obviously this is anecdotal). Then after that year mark, it stops being connected to being an expat. I went through it in Italy. I still didn’t want to stay in Italy, but I stopped wanting to go back to the States too, and I was able to better identify what my issues really were. I did end up moving, but I made a move that was better for me in the long run. Some people find that after that period, they really are happy in their location, and just needed time to assimilate.

I kind of think you’re in that slump, and winter - in a place with hard winters - is exacberating that.

Give yourself more time - you may still want to move, but you may find you don’t want to move back home, so much as to a different city or a different country.