I don't trust coyote's as far as I could throw one.. . . except for Coyotes, I'd agree with RCloud. Coyotes here have grabbed a Yorkie and a Pom mix with their owners within 30 feet, but there are also many days they are so close beside my back fence I could reach out and touch them.
Not that I trust any wild animal, but if I had to pick one to fear on all occasions, it's gonna be them.
I have personally witnessed them initiating play with dogs, usually with a female or a pup, then leading them off into an ambush. My father once had a Walker Coonhound who had his paw bitten through by one. It simply walked up to him, friendly one minute, the next we hear this poor dog screaming. A coyote has him by the foot. They taunt my two. Diesel wants to kill them, but Aleu is friendly with them, which is just not a good combination.
I have heard stories of coyotes -and foxes- following people while out walking their dogs. Quite closely at that.
So, aside from coyotes, most wild animals will either ignore you or get up and scurry off. They might watch but probably won't act. Just remain calm, try to keep your dog calm, and keep an eye on them as you pass.