[rabite gets whacked!]

Growing up, we had a cat who'd pursued our neighbor's chickens (shit buddy, perhaps free-ranging those things in the middle of the woods wasn't the greatest idea) and wound up with a .22 bullet permanently lodged in his throat, as said neighbor "tried to shoot behind him to scare him off." He survived and lived a good full life with no side effects except a voice scratchy enough to make Tom Waits jealous.

I have no idea if this incident dissuaded him from further pursuit of chickens.

You might try working up some traps and transporting them to some other location, though.
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