I forget what it’s like in the U.S., but in Canada, the governments regulate hunting alongside animal population control. Only allow a certain number of each type of animal can be legally hunted each year and hunters enter a lottery system. If you’re out hunting deer and a moose charges at you, you better run because it’s illegal to shoot the moose.
(One of the first stories my boyfriend ever told me when we met was about him in that exact scenario. Whenever this comes up in conversation I think of South Park’s “They’re coming right for us.”)
Furthermore, I believe that hunting helps people make a connection with their food. Hunters love animals.
Wild animals will likely die anyway, and a good shot is more helpful than harmless. Feed yourself, keep the animal from suffering.