Should farmers obtain the right to shoot domestic dogs if on their property?

There is a farmer that lets her chickens loose in her yard. They are also in the street in front of her farm all the time. Why do the dogs or wild animals go after her chickens? You tell me. She threatens to kill the dog if it comes back again. Did she? I know of lost dogs in the same area, where do they dissapear too? It is natural for a dog to try to run free. They will even jump electric fences, regular fences, and break chains. They are dogs. I understand calling animal control and have these dogs picked up and have the owners pay for any damage and a fine. The owners of these dogs do not want their dogs doing any of the above and would gladly pay the damage expense. To poison, shoot or kill these dogs is inhumane. I hate to think of the suffering these dogs go through. Remember farmers, they are dogs, not humans. Yes the owners may or may not be at fault, but why take it out on a domestic animal. I read the article about the missing dog. I can relate to this dog owner. It has happened to me. Remember, you can also get arrested for treatening a dog owner on the dog owners property. You have no right to go after the owner with a gun or threatening of any kind. You could be in trouble too for doing this. Lots of dogs or falsly accused because they may have been in some ones yard previously. Have proof it's the same dog before you go threatening these people. Lots of dogs look exactly alike. People will look at a dog missing posting and think it is the dog they saw wandering. In the end it's a different breed or totaly different looking dog.