Coyotes breed according to their food source. When coyotes are fed by people they keep coming into town. This creates a noise problem. They yip and howl which makes the local dogs start barking. This wakes the neighbors and they complain about the barking dogs.
Coyotes also carry infectious diseases.
They carry fleas which could carry rabies. And there is always the possibility that they could have rabies themselves. This could be a safety problem for the person feeding them and the rest of the community. So please don't feed the coyotes.