Trap that cat and give it a pepper spray job plus a good water hose bath while in the trap it will never come back to your yard. This I did to a neighbors cat that was killing my Coi fish. Only one treatment application was needed, that cat sees me and it's gone. Across the street the neighbors bring home stray dogs and cats then find them homes. One year they had a real bad pit bull that killed two of their cats and a large beagle under their care, months later animal control came by as this Pit was out in the street chasing people. Then a animal control officer who wasn't ready was attacked being chewed up rather bad with his blood everywhere. I took action being I live in a city but anyway fired two rounds of Black Talon from my .44 Redhawk. This started a big animal rights case plus involved the police as discharging a firearm within city limits, case dropped instantly being a reserve backup for the police department. It was settled weeks later with no charges at all against me as we had many neighbor complaints about this homeless animal shelter home. They are now banned to have any Pit Bulls in that house or yard. Make note, next time use a subsonic caliber with a silencer. Time to seal off under the house for any other critters like mice and rats.