I’m letting a homeless woman crash on my couch

Well this is actively happening. A young woman bummed a cigarette off me on my way home from work. Struck up a conversation with me and asked if I had a place to stay. I was like “yeah I live in the neighborhood” We continue chatting on a park bench for a while and she popped the question if she could stay. So far she seems harmless and I could fight her if need be. But I feel strange about this interaction. I don’t want to have to deny any advances but I think if I maintain a cordial attitude this will be fine. Idk, I’ll lyk if I get stabbed in my sleep.