Just got an email back from one of the shelters. Not too promising.

Unfortunately like most shelters here in the city we are full, We have 110
cats, I have e-mailed this person to ask her to take it to the Humane
society. That is about the best that can be done. Have no idea if the cat is
wild or tame etc. If it is wild, no one will take and catching it will be
difficult without a trap. If she is not feeding it, then it will eventually
leave to find food.
Thank you
D'Arcy