I'm not entirely sure, to be completely honest. It was cowering under a bush near the back door last night, covered in dirt and shivering, so I brought it in to clean it up and feed it something, and I was going to take it to a shelter this morning. The woman next door said she's seen it around for a week or so, and it doesn't seem to have an owner.
Sophie has since given it name and declared that it doesn't need to find another home because it can have a home with us. I inevitably lost the debate about whether or not it can stay. It makes her happy, so it can't be that bad, I guess.
I've never had a cat before, so I'm not clear on what to do with it, or what exactly it's going to need though.