I do find it terribly peculiar when someone has zero experience with an activity and has never researched it using firsthand sources but has a passionate opinion based on their…er…intuition.
It’s also strange to me how some animal rights people focus on fox hunting. Fox hunting probably kills a handful of coyote a year. It’s quite…um…inefficient. Plus we are generally preserving the land the coyote live on as well, so many healthy groups of coyote are living thanks to us. And our hunts in cattle and sheep country reduce extermination efforts by farmers. Meanwhile, a quick google search reveals that an estimated 400,000-500,000 coyote are killed in the US each year via trapping, poisoning, and shooting.
I can only presume that someone who chooses to vilify fox hunting and fox hunters has some kind of weird chip on their shoulder that has nothing to do with animal welfare.
The negative references to deer hunting puzzle me a bit also. Letting deer populations expand unchecked results in overpopulation, malnutrition and disease (including tick borne infections that affect humans), damage to native species of plants, and increased numbers of car accidents. Deer hunting is an important source of protein for many people where I live (midwest). Hunting licenses provide income for fish and game agencies. Also, at least in my area, many people invest in and specifically maintain and preserve large private tracts of woodland and meadows for deer hunting–preserving land that otherwise might be subject to logging or development. If the OP’s area has many deer hunters, then her local wildlife agency should be well funded and she should not hesitate to report poaching and illegal hunting.