[ ... Welp. Since she very much does not believe he is going to come with her to a warm house, the least she can do is try and get him to go inside some place. ]

There are a few large buildings around the village that house many people in separate rooms, and they are difficult to miss. I would advise you to find one of them so you can, at the least, get warm on your own.

[ Is that good enough? If she can't help him by bringing him home, she can at least tell him where he can get warm by himself. It's better than leaving him in the cold. ]