Put out some shelter and food and hope for the best till spring.
There are all sorts of cheap and good ways to make a shelter
for winter. If you need some ideas or suggestions/directions
please PM me (likely anyone on this board too!) and we can
help with that.
I might suggest that you talk to the neighbors (no yelling!) and say you really like kitty and is it okay if you take over caring for it outside? You will of course assume any financial responsiblity etc etc. (That's if they are inclined to reasonable - having yelled at them they may not be reasonable)
I had a neighbor like this one - she had an okay heart, but no
money, far too many animals - an old dashund, a Rotwiler mix,
a brain damaged blind cat, a gecko and a rabbit (you should have smelled her house it took putting in new floors to get rid of or take care of them
very well at all. I always thought the bunny, old dog, big dog and cat
were treat in a borderline cruel way - often kenneled the big dog for whole days with 5 minute pee periods 2 a day, didn't get the old dog on heart meds when he needed, left the rabbit in a crampt hutch all the time!! And when she moved to a new house, she put a blind and brain damaged kitty out on her deck with a dog house in WINTER
mind you, because the blind cat in a new house with a big dog,
was not using her box!!! (After moving to a new house that is..GEEZZ!!0
However my neighbor was reasonable and we were able to get her to get the old dog heart meds until his death, we managed to have her give the
cat to a good home (one with a lady who wasn't adverse to working
with the blind kitty!!).
Sooo perhaps they wouldn't object to you feeding and sheltering it outside
and giving vet care?? That is if you can afford it?
If cost is an issue maybe one of the shelter /rescue groups that has a vet they work with would let you get it treated and pay for it in installments? or a vet would help you do payment plan for the medical costs - so it wouldn't be a huge burden to you??
Then you could put her back outside once she was "up to speed" health wise?
I know if it was me, I'd probably have simply made the cat disappear!
Just like Hissy said.
But that's me. My experience has shown
that some people just aren't going to be reasonable about things.
I always watch that Animal Planet show on SPCAs in Detroit, and Houston
and Chicago and wish we had that here in my town and every where else!!