American Shorthair kittens & cats in Clear Lake, Iowa

This cat was wandering around the neighborhood for the summer. She was extremely skinny, with wounds and missing fur. We started feeding her. I would see her getting fights with other feral cats. I the was able to approach her and pick her up right away and she purred and wanted to be pet. I could tell this cat lived in a home at one time but was out on its own for a very long time, it would not make it to the winter. I took the cat to the vet and got a rabies shot and worming. I live with my mother and she is elderly and has a cat and dog of her own. She rents her home and is at her pet limit. She would be evicted if they found out, and we would have no place to go. I have kept her in my room for the last few months but my mother is very adamant that the cat needs to go somewhere or go back outside. I know she would not survive outside or she would get pregnant and we'd have a bigger problem. She's so sweet she lets me hold her and clip her nails.