Coyotes are omnivorous and will eat just about anything, but their main natural diet consists of
small mammals (mice, chipmunks, squirrels)
insects (grasshoppers, beetles)
fruit (persimmons, blackberries, figs).
Coyotes generally hunt for food on their own and are usually not big enough to take down larger prey, although accounts of seeing several coyotes collectively chasing a deer are not uncommon. A small fawn is certainly a potential prey item for a larger coyote.
Should coyotes become emboldened they can easily exploit food sources made available by humans. Such sources would include garbage, gardens, compost, road kill, pet food, and domestic animals.