There is this outside cat that has some how "claimed" us. This winter my husband felt bad for him…

There is this outside cat that has some how "claimed" us. This winter my husband felt bad for him during the cold nights and would let him in the house. Then I would wake up to this strange cat in my house and freak out to my husband saying "it's Okay baby its just really cold out." Im just thinking Okay Whatever but build him an outside house or something. Anyways now it just seems like this cat has claimed me and I can't walk without him right at my feet. Even when my daughter and I take walks outside, he goes with us. Now he wants to sleep at my feet for as long as I'm in bed. He won't leave me. I feel bad cause I don't see him as ours. Just a cat that just forces his way inside the house but while typing this and staring at him I'm thinking I have to get over it. We have a cat.