Not only will they run your deer off they will catch and eat them. coyotes take a huge toll on the deer population. After all they need to eat. How many rabbits, turkeys and other small critters do you see. Coyotes are on your property because there's food.

I had a spot Madisonville, La the last few years and we have a good bit of coyotes. Ive had multiple times where coyotes continue to come through my area, piss around my corn and harass the deer. The deer in my area have just worked around the coyotes. They still come to my sets. I have multiple pictures where a coyote will come in and not even 15 minutes later the deer come in. All in all though probably just depends on your location and how bad your predator population is.

if i was in your situation i would ether set traps or one morning or evening sit by the trail cam and pop them with a 22 mag or 12 gauge with buckshot and set out coyote urine or calls do attract them meat would also help. good luck