Kitties are very fragile creatures. Pretty much anything will take them down. You don't need to go above-and-beyond, by loading up the hard cast bullets and 12 ga slugs.
Keep it simple.
Kitties run from humans. The likelihood of that cat letting itself be found is about zero.
"Such is the strange way that man works -- first he virtually destroys a species and then does everything in his power to restore it."