I don't care if a dog is running deer I won't shoot them for that. In fact it's illegal to do so here. Very rarely will a dog catch a deer or run it to exhaustion or death.. You can legally shoot them for harassing or killing livestock.
Several years ago there were 3 dogs frequenting my place that killed every fawn born that year. To understand the problem I would have to show you an aerial photo or take you for a ride around. There are 70 acres adjoining me that has about 7 or 8 trailer houses of black folks that have dogs which used to run amok, they were bad dogs. One of the 3 dogs was a big solid black and I have never seen a dog that could chase a deer that fast. He had 2 white dog companions almost as fast that would come in behind him. One day after carrying my rifle all day looking for him to show up I finally climbed up in a box stand at about 4:30 to try for a deer. A doe came streaking through at top speed, then the black dog so fast I couldn't get a shot. I had been trying to get a shot on him for a month after getting lots of pictures and finding several half eaten fawns. I called the state trapper for advice. He told be to set a big Conibear body grip trap with the trigger on bottom and to tie some red raw meat to the trigger which is what I did, and I had him the next morning dead as a hammer. Then I caught one of the white ones and the other was put into captivity by the owners.
As for that Husky the girl killed. They are bad dogs out in the country also. My neighbor to the north had 2 calves killed by a mama Husky/Pit hybrid and her 4 big pups about 8 to 10 months old. He made the mistake of complaining to the keeper of the dogs and was rebuffed. He went and climbed up in a nearby box blind and when they returned he shot the mama dog first and then shot all 4 of the young dogs.
Dogs will certainly kill deer and calves. I think for the most part we have convinced the black folks their dogs ain't comin' home if they come our way. We bought our place with our own money to raise cattle and hunt not to provide entertainment and beef and venison for bad dogs.
