U of A just finished a study here in AZ. 43% of a coyote's diet is house cat.....and no I'm not kidding.
Keep your critter out of harms way.
We used the dead rabbit recording thing to hunt coyotes, we gave up and just started walking back to camp, when we saw a coyote coming our way. Thing ran off we never saw a coyote in the area again. They are smart predators
Something to the idea of once they know they are being hunted they don't come around.