I grew up in western central Pennsylvania, and many of the jw men hunted...mostly grouse, rabbits, deer, and bears. My stepdad hunted fox and deer mostly and had several hunting rifles and shot guns. He used to sit in the yard and shoot groundhogs across the road at an Arabian horse farm. He also shot my cousin's and brother's dogs just for kicks. And nobody said a word. As a matter of fact, he made elder.
Just a suggestion: instead of shooting the rabbits in your garden with a bb gun, why not catch them in live traps and secretly drop them off at the old bitch's house. It would be funny to see her run over with them.