The 22lr question is one that pops up over and over again on this board. The short answer is, Yes, a 22lr will and has killed many many coyotes. There is no real debate on that. But if the hit is slightly off, it will wound, maim and leave a coyote to die a horrible slow death. The ultimate choice is yours to make. But please do the coyote a favor. If you aren't absolutely sure that your bullet will go into the brain cavity and scramble everything there, don't shoot. Call that coyote another day.