Little Gray Kitten (Champaign)

We found this little gray kitten at my work.
It was a stray out in the rain on its own.
I took it in so it wouldn't freeze to death outside and it is doing great now.
It plays and wants attention like a normal kitten.
From what my friends have said it is a girl.
She is happy and wants to be held and played with.
I just unfortunately am not a pet person and cannot keep her.
She would need vet visits and with her being so young spayed as well.
I will also provide the essentials for her that I will happily give like the litter box, litter, some food, a couple toys, a scratcher, and a pretty giant cat tree.
I have given her several baths and treated her for fleas, she thankfully has none and is all clean now.
I am not worried about a fee or anything, I just want her to have a good happy home.