I've always been taught that any animal can be dangerous, even domestic cats and dogs. We live on a nice spread of ground and hunt deer every fall/winter. Bobcats, the occasional bear, the occasional cougar, raccoons, snakes, coyotes, etc. Yet we have, right in the middle of this, chickens, cats, dogs, ducks and a turkey. All unfenced and wandering throughout the yard and a small portion of the total acreage.
However, we do find, from time to time, deer killed by some type of cat. Bobcat or cougar? Not sure. Prints have been found, large prints, bear and cougar, but they are so slippery, we've not had any encounters.
Just as I'm careful in traffic, so goes it in the woods. Eyes always open. Plenty of food around for predatory animals, but when animal mamas have babies, that's a whole different story. Wild animals are wild animals.
Noodle