Oh, gosh that's a scare. I hope your day gets better!

Yes, Coyotes are very beautiful animals. Living in Arizona, I see them all the time! I've even seen one in the pit behind my backyard! They might be pretty, but keep in mind thay are still wild animals.
In Arizona, people are encouraged not to take their dogs for walks on the mountains because there have been several reports of coyotes jumping out, and actually taking, and running off with the smaller dogs, or trying to attack the larger ones!