If you want to eliminate the coyote threat in your area you'll need to quit your day job! It just can't be done. They are everywhere and seeing them in the daytime is not unusual. Eliminating the coyote might create a bigger problem. For instance it might be a parent and if you take it out the other parent and pack members may become even more desperate and troublesome. If it is a lone individual eliminating it will induce a new coyote to move into its territory and the new one may be even more trouble. Or if it is a pack member eliminating it means more pups will survive this year and you will have actually INCREASED the population! The good news is that the season of plenty is just around the corner and all the winter weary hungry predators will be busy eating up lots of other critters besides your chickens. One good (?) thing to remember about coyotes is that they significantly reduce populations of raccoons, foxes, and skunks which are all prone to predating chickens.
In the meantime strong measures to deter this coyote should be taken. Get your dogs to do lots of marking near your chicken area, plenty of poop and urine. And even human urine (funny sounding I know). Movement triggered lights, waving streamers, and noise (like a radio) are all good options. There are other scent deterrents you can order online. If you see the animal again CHASE it screaming and waving your arms in the air and throwing rocks or firing off shots. You will scare the crap out of it. It wants an easy meal not a confrontation. Good luck!