Does anyone remember a romantic somewhat slow burn story where the main character finds a depressed young man outside his house in the snow, and takes him in and takes care of him until they fall in love?

I believe it's "Hit Me If I Tease You"

That's not it but I haven't read that one yet so I'll check it out - thanks! :)

Could it be "Yuki no Yousei"? It's not about homeless person, but the guy had no place to go and I think he was depressed

Is it Keyring Lock by ymz? I also remember a similar plot but I don't remember the title.