Update:
No shelter, pound, rescue group will take her. They all said they are filled up with cats and kittens since it is kitten season. So, that meant she is meant to stay with me. After pondering what to do, I decided to get her a dog crate. A big one. BIG. I bought one at PetSmart for 68 bucks and its the size for a german shepherd. BIG. Collapsable too. Brought it home, set it up, put her cat cave in there (2 of them), her litter box, some toys, her food. Then I took her and her carrier and opened the gate and put her in. She ran immediately to the cat cave to hide. I covered it with a large throw but open at the bottom so she could still view me from the bottom catcave (I have them stacked) as I moved around the room. Next morning...food bowl was empty, water half gone, litter box full, lol. She wanted her own safe spot...safe haven...save mini home. And that is what she got.
This was 2 days ago. Tonight, I opened the kennel gate, then laid on my bed just to see what she would do. She hesitantly came out of the cat cave about 10 minutes after I laid down. Then she came to the open gate and looked around. Then she came out. Then wandered the room a bit very carefully. When I moved on the bed, she made a beeline back to the crate and her cave. I stayed where I was, fluffing pillows and stuff. She came back out. Did a bit more exploring. I waited. Then she jumped on the bed and slowly came to my face, smelled my hair, then.....surprise....she laid down against me. I petter her awhile very carefully, then stopped like I was asleep. After awhile roamed to the window sill (I have a cart there with a pillow on it so she can look out if she wants) then she went back in to the crate. HOME to her. I got up, closed the gate, said Night Night Sleepy Time, which is what I have been saying since I got her so she knows night time is SLEEPY TIME, left the room.
I think I made some headway, dontcha think?