Try contacting your local Wildlife department and see if they can help. Other than that you might try to bait the cat then shoot it when it comes too eat. I don't know if this works with cats or if it is legal in your area but it has been known to work in our area on problem coyotes.
Best of Luck!!
Ditto on checking with the wildlife department. They should have good advice on how to accomplish the feat. More importantly, if you do it the wrong way you could find yourself seriously afoul of the law.
The first deer I shot, way back in 1958, was taken to the local meat shop and processed into steaks, roasts and some burger. Back then in that little Idaho town, when you took a deer into the butcher, you got the same deer back. Unfortunately, times have changed. The last time I took an animal to a butcher, in the mid 60's, I don't have a clue who's meat I got back, but I sure don't think it was mine. I ended up throwing the burger as it stunk the house up every time we...