The Cat I Picked Up

I actually contacted several organizations, but no one would take her in. So bringing her home has been a lot of trouble. She had an eye infection, gum inflammation, and tartar buildup, and she barely pooped. These issues were manageable, as they could be resolved by a vet. The problem is my own cat is stressed out. She smells another cat on me, and she barely eats a few bites of food. She even refuses to sleep with me... This rescued cat is really well-behaved and affectionate. She's so friendly. I just lay down on the bed for a moment, and she immediately came to rub against me and lay down next to me, wanting to sleep. I really suspect someone abandoned her. Because I'd never seen her before. People who abandon cats just because they're sick are truly despicable. I wish all cats in the world are loved until they're old and go to heaven. I hope my own cat quickly forgives me for bringing this cat home. Thinking about when I'll be able to rehome this cat gives me a headache. My family's ultimatum is that if she's not rehomed, she'll be kicked out. I went through the trouble of taking her to the vet... ...Sigh