Heh heh! She rubbed ol' Issy out, did she?
Well...I guess I could just go ahead and set a trap...have animal control deal with it.
It's what they're there for. And if it's a pet...well, they have to deal with situations like that, too. A pet that'd kill neighbors chickens might also kill other pets.
Use Puffy as the bait, kill two birds with one trap as it were.