"Livestock" is defined differently in some localities. Some require the animal to be a source of income to be considered Livestock. So unless one sells the eggs, chicks, birds, or meat as a declared income, typical backyard flocks would not be considered Livestock under those laws.
However...
I hope you were legally allowed to shoot him. I get defending your flock but i issue death sentences only as a last resort.
I too live in rural America with a diverse population of predators. I free range my flock (no fences at all only a safe coop at night) yet rarely lose a bird. Not...