Any animal, such as this dog, engaging in depredation of farm animals, such as her chickens, needs to be killed.
No argument about killing. The difference is between taking it out back and shooting it in the head for following its instincts or just rough play and putting it to sleep because it will probably continue destroying valuable property. They don’t know any better on their own so if they’re broken, there’s not much choice. However, calling them “vicious”, especially after saying it was hated for not hunting, is most likely deflection and CYA from the shooter who needs votes.