There is a small feral cat that keeps coming into my backyard and attacking my 65lb dog. Our yard is fully fenced and we have a dog door, so our dog goes in and out as he pleases. I usually don't see the attack, but hear it (horrific yowling and crying by our dog--he's clearly afraid of it).
During the last cat encounter (we've had 6 or so), my dog hurt himself coming through the dog door as fast as he could. To make matters worse, now the cat seems interested in getting into the house through the dog door. I feel like I have to secure the house from this cat; I really worry about the cat somehow making it inside (through the dog door, a window, bolting through the door).
The cat is not afraid of people. I go out and shoo it with a broom, but it often comes right back.
This has been going on for months. No kitties in our yard and if s/he had rabies, s/he's be dead by now. I've tried (unsuccessfully) to trap the cat, but there isn't much that's humane I can do with it anyway; local shelters won't take feral cats. And trap/neuter/return wouldn't help my problem in this case.