Our cat is an observer, she just likes watching us, and runs to hide when anyone else comes over. She is happiest with a high perch bed near me or in some sunshine, or outdoor time alone. I know she likes us as she is always looking out the window when we arrive back home. Lately, she's into having a down blanket on top of pillows on my dresser next to my bed with a water bowl close by... She will jump on my chest maybe 2 minutes for petting of her head, between her eyes, and that's it, she's off to do her own thing - easiest cat ever! I don't pick her up or expect her to give me attention, always on her terms. We have a love time at her food bowl, a treat time, but she doesn't want much. I'm an animal person, so I'm used to animals loving me and she runs away from me too - cats are odd creatures. Surrendering your cat would likely result in her spending years in a shelter.