Gotta say, I find that basically NONE of this is true...

1) Animal depredation permits are actually not that common in most states, and many states have written code that spells out that if you have a problem animal, you can defend your self and property. Big game species are a different case, as far as if you have over populated deer damaging your crops, you can't go blasting deer without involving the DNR, but predatory and invasive species are a different matter. Most states that have ever had issues with predatory or invasive (read wild hogs) species encroaching upon humans will have a reasonable way of allowing landowners to deal with the issues firsthand. In my experience, in MOST states, if you have problem animals, it's usually easier to 1) call DNR and have them deal with it for you, 2) call a local hunter and see if they can take care of the problem, 3) call local pest/animal control and have them deal with it, or 4) get your own HUNTING license and deal with it yourself. Depredation permits are often more time consuming than they are worth.

2) Eye color in reflection is not always consistent, and will vary with light source. Sure, owls will tend to run more yellow, cats tend to be more orange/red, and deer will generally seem more blue/green, but basically any species can have a yellow, orange, red, or blue/green eye shine, depending on your light source. Different lamps, halogen, incandescent, LED, Laser designators will emit different spectra, and will reflect different colors back. Different intensity lights will also yield different colors. A very low intensity light might show a red or orange from a coyote eye, but if you crank up the rheostat, you'll see a more orange or yellow eye shine. Green deer eyes can turn yellow or white under high intensity light.

Beyond that, I have taken LITERALLY thousands of coons, and can probably count on one hand how many times I have thought their eyes looked "red" unless I was using a red lens or red LED. Orange to green is usually what I see using most of the lights/lamps I have used over the years. Red is almost always cats, opossums, or skunks, while coons seem to be a little more centered in the spectrum.

Frankly, for all you know, you took a pot shot at a bunny rabbit. If you can't see it at 50ft, you should not be taking shots at it. Either get a trail camera, or simply walk out there and see what type of tracks might be left. If you find some tracks that you can't readily identify, post them on here and we'll be able to help you out.

Stray/Feral dogs can be incredibly dangerous and need to be dealt with, coyotes are generally much more wary, but they WILL attack pets, and CAN attack small children. Wolves generally avoid human homes, but they are incredibly dangerous. Wolves have zero fear of humans, and are large enough that they DO see adult humans as a prey source. If you have a wolf problem, you need to be making calls and defending yourself. I have been stalked by wolves during caribou hunts and had to defend myself while quartering my kill. Liam Neissen might be a terrible actor, but "The Grey" wasn't too far off for how they behave. Wolves really don't care who or what you are, they're here to eat anything that moves. Bobcats, in my experience, wouldn't be a problem for people, could be a problem for smaller pets. Cougar/Mountain Lion/Puma/Panthers are incredibly dangerous. If you have a cogar problem, i.e. coming near your home with little or no fear of YOU, you need to be making some phone calls. Hogs generally aren't predatory, but can be dangerous if you surprise one, and they can occasionally be territorial. Skunks and opossums suck, but generally aren't dangerous, coons aren't an issue other than invasion. Bunny rabbits, on the other hand, are incredibly dangerous and must be stopped at all costs....