No question that Coyotes will kill all kinds of snakes including Rattlesnakes.................No question that if the Rattlesnake lands a deep enough bite, excreting sizeable venom, the Coyote(like a domestic dog) very likely will ultimately die from the bite..............However, Coyotes(like Bobcats), "float like a butterfly and sting like a bee"---- and are most often victorious in their "bouts" with snakes..............It seems that Coyotes are as apt to make a meal of a Rattlesnake(in fact, any snake species) as well as simply dispatching the snake and leaving it to rot dead.............Videos (in the second article below) depict both of these Coyote behaviours

Please click on the link below to view 
https://upi.com/6730647

Coyote confronts rattlesnake in middle of Arizona road

 first article----April 10, 2018; by Ben Hooper

ALL PHOTOS BELOW BY JANET KESSLER

An Arizona woman captured footage of a tense and unusual encounter between a coyote and a rattlesnake in the middle of a road.

Annie Kane said she filmed the video Sunday morning when she spotted the two wild animals in the street near Baseline and Recker roads in Mesa.

The video shows the coyote and rattlesnake lunging at one another multiple times, but neither make contact.

The ultimate outcome of the confrontation was unknown.

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Timber Rattlesnakes in Vermont and New York By Jon Furman

COYOTES WILL KILL SNAKES INCLUDING RATTLESNAKES AND SOMETIMES EAT THEM

https://www.youtube.com/watch?v=M8HRJFv-odw--penn coyote does not eat snake

  

https://www.youtube.com/watch?v=qyGLJSaz-lE coyote eating snake

https://coyoteyipps.com/tag/coyotes-and-snakes/
SNAKES ARE NOT FOR EATING
June 27, 2010; Janet Kessler

I have seen coyotes(in San Francisco) pick up dead snakes before, snakes that had already been killed either by them or some other animal, but today I actually watched as a coyote caught a live snake. The coyote was quick and exact in its hunting techniques: it only took one plunge before the coyote had the snake. I watched intently, thinking that this was a “fresh” snake, and might be eaten, but that was not to be. I don’t think that coyotes eat snakes if they don’t have to.

The coyote put down the snake, rolled on it, and played with it, tossing it high in the air. The episode took a little over a minute. I learned that an animal does not have to have decomposed for a coyote to want to roll on it — maybe snakes are strong smelling to begin with. When the coyote was through with these activities, it moved on to making its rounds. Interestingly, the coyote returned to this snake about 40 minutes later, searching for it and picking it up just for a second before dropping it and continuing on the path. Ten minutes later I came back to find the snake was gone: it had probably been picked up by either a red-tail hawk or a raven which are seen constantly flying above.