Trappers love to see coyotes in their sets, but they do not want blood left behind after the dispatch. Many trappers remake their sets in the same catch circle, or very near to it. Blood left behind from a dispatched coyote can keep other coyotes coming in being caught.
Trappers can clean up and haul off any dirt that has blood left behind from or a dispatched coyote. That takes time, and most trappers are on a time crunch. The best option would be to dispatch the coyote without any blood loss. Pro trapper Clint Locklear will walk you through the steps of dispatching a coyote without all the mess.