I’ve seen coyotes follow and pester deer and I have also seen them live in harmony...bedded 50 yards apart and each knew the other were there. There are too many factors in the pics drying up to give you an answer...your food could answer it (desires change by the week...right now, shifting off grains and over to alfalfa or clover). Your new presence can shift them (not a bad thing this time of year) etc. one food source will not keep deer consistent al year long. Add any of the multiple factors and also that we are getting closer to dawning time and does disperse to give birth in peace and raise the little ones before getting back with the rest of the family in a couple months. Anyway, if coyotes are thick, it never hurts to thin them out to help fawn recruitment, but you will never eradicate them...when there is ample food and numbers are low, they reproduce more pups, when food is low or there is a big population, they have less pups. It’s odd, but it’s nature keeping things in balance.
But to answer your question...I’ve had a yote in front of the camera and minutes later deer again. They can have an impact, but aren’t likely the main reason the pics dried up.