Sorry guys and I know I'm opinionated but....you can kill every single one of those nasty SOB...sorry but I've lost goats and kids(baby goats)...rabbits and chickens to them and I was tracked and surrounded by them while walking to stand one morning(DEC said I was breakfast)...lets not even mention loosing and eight pointer to them....ya NO love loss here...we have fox...owls...hawks ..and even eagle to take care of rodents and such...so I see no need for yotes...
Anyone free-ranging small stock or in open unprotected pens is going to experience loss from time to time. Not to mention that it is often another animal that is the culprit. (not saying it wasn't in your case). A carcass killed by a dog looks much different than a yote. Many have no clue of this.
If you're three feet tall, I may buy the coyote surrounding. Otherwise your local DEC officer is sadly mistaken. Lot's of animals are curious about us. I have been followed by deer and raccoon.
Leaving a deer out overnight, sometimes cannot be helped. But blaming another animal for not ignoring that vital resource makes little sense.
Obviously there is a need for the coyote, or else it would not exist.