I’m at a friend’s place and the cat keeps bringing in dead (or half-dead) animals into the house. It’s my understanding that cats think we are big, helpless kittens that don’t know how to hunt. Hence, they think they are doing us a favour.
It seems like a few mice actually escaped and found refuge in some walls in the house, so these “presents” are actually more than just annoying (and smelly if the dead animal ends up behind the couch).
Well, this is the consequence of letting it outside unfortunately- on top of risk of injury and death but I’m sure y’all know that already. There’s not really an effective way to train them against this behaviour the way you might a dog.
So long as there’s critters outside the cat is going to hunt them. Maybe you could try to give the kitty a snag safe cat collar with a bell? It might alert the wildlife so they have time to avoid being caught.