Personally, I don't mess with coyotes if I'm deer hunting.
For rifle, our deer season is 10days long, and coyotes are open all year round. Regardless of the calling sound spooking deer, I'm not going to shoot a coyote while I'm deer hunting and blow my hunt.
Our archery season runs mid-Sept through the first week of January, so there's a lot more time, but between trips for work, my days in the deer stand are at a premium.
Depending on deer movement habits, I have hit the deer stand in the morning, left for lunch, called a bit during the midday somewhere else, then back in the deer stand for late afternoon through sunset. It all depends on when the deer are moving.
With the limited timespan, and limited tags, let alone the COST of permits and tags, if I'm deer hunting, I prioritize deer hunting.