Remouve her VERY carefully! LOL
To be Eco Friendly or whatever, you need to relocate it.
Buy or rent a "Have-a-Heart" trap!
Drape the trap with a towel or such, carry over to city hall and release her.
On the serious side, probably a scent, such as used for deer, might work.
It is claimed that coyote scent (Skoot) is good.
Perhaps even some dog poo.
I once had serious dog problems and city refused to help.
The mutt was easy to handle, it actually hopped into my car so I drove to city hall and the mutt followed me inside where I left it.
When they got all upset and threatened all sorts of things I took the stand that 1- dog was not mine, 2-it folowed me, 3- Was there simply to ask how to solve the problem. 4- If the city paid dog catcher did his job I would not have problems.
Did not help that the dog cocked his leg to mark territory on the chief's desk!