I don't hate any animals, but I'm more wary around some than others, mostly because I'm unfamiliar with them. I tend to take the stand that it's not a good idea to try to pet animals I don't know much about.
When I hear stories (and I've heard many) of coyotes killing family pets (including dogs; I don't think it's "rare" that they go after dogs, let alone other animals), it upsets me greatly. I don't take animal suffering well, and that also means if an animal killed a coyote, I'd be distressed for it, too. If my pet was being attacked by a coyote, though, or any other animal that I felt I could take on (and maybe even if I couldn't), I'd do what I had to to save my pet.
The story at that link was amusing, but it just goes to show you, deer aren't friendly, in general. I've seen video of deer attacks. Their hooves are quite strong. I love deer--I love all animals--but I paid attention to those animal experts and learned never to approach an animal in the wild, especially if it's a baby (because Mommy is probably near and will not appreciate you getting close to her baby). If you think an animal has been abandoned or is hurt, contact your local wildlife organization. It's a good idea to have the number handy.
I'm reminded of a story that takes place in Yosemite Park, if I'm remembering correctly. A bear wandered into an area where there were several people, and the ranger there warned everyone to stay away from the bear. But this one idiot told her husband to go stand by the bear and let her take a photo!!!

I think the ranger shooed them away.
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Maven
If I had a dollar for every time I got distracted, I wish I had some ice cream.
Equal Rights Are Not Special Rights