Don’t want his cousin to move in

I’m sure this is going to sound bad, but I need advice on what would you do in my situation.

My husband has a female cousin he is close with. Let’s just call her Amy. She’s nice and we get along, but I don’t think it would be appropriate for her to stay with us. So, she used to live about 25min from us. A couple years ago, she moved in with her sisters who live about 3 hours away. Well, while we were out shopping yesterday, he was texting her and he said “awe, Amy is going to be homeless soon, her sisters are kicking her out, so she will be sleeping in her car and moving back here.” He then gave me a look, and I already knew where this was going, so I turned around and started looking at some things to avoid eye contact. However, I didn’t want to seem rude, so I said “why is she being kicked out?” He said that apparently Amy ended up loosing her job, and her sisters didn’t like coming home and finding her just sitting on the couch. I asked if she was looking for another job, and he said she was, but her sisters still want to put her out. I can’t help but think there’s more to why they are putting her out, but I don’t know. He said that’s just the kind of people they are. I guess he picked up on my vibe, so he said, “well, too bad we don’t have the space.” …….I know my husband, so I know he only said that to avoid any confrontation. Especially since we had our 6 year old daughter with us. I KNOW this will come up again. So, part of my job is seeking resources for people who are homeless. I asked him when was she moving back here so I could help her find something, and/or point her to a shelter. He said he doesn’t know, but I don’t think that’s what he wants. Then I finally asked him if he wanted her to move in, and he didn’t really give an answer. The reason why I don’t want her to move in is because we literally don’t have the space. We live in a two bedroom, 1.5 bathroom duplex. We’re renting, so she won’t be on the lease, and I know that could cause problems with a landlord. She would be sleeping on our couch, using our bathroom to bathe, and she wouldn’t have anywhere to put her stuff. Another thing is, back in 2017, one of his male cousins came to stay with us for a few months and I didn’t like it. He was sleeping on our couch and his stuff was all in our dining room. It wasn’t a good experience. I don’t want that again. Also, this time it would be a woman, although his cousin and I get along, I feel like that would change if she were to move in. Don’t get me wrong, I feel terrible that she will be sleeping in her car, so I will help her find employment and housing in any way that I can. However, another part of me wants to tell him it’s not our problem that she for whatever reason can’t keep a job and is now being kicked out of her sister’s house. Maybe if we had an extra bedroom, I would feel different.

Am I wrong? What would you do?