Just in case this is a surprise two things to remember. LGD have no fear. It was bred out of them years ago. Good ones will not give up on their jobs no matter what. Coyotes are not really that big. They all fluff so they look twice as big as they are.

Though LGD should never work alone. There should always be at least two dogs if they are guarding unfenced animals.

I think the additional details make it much more awesome:

Around 2:30 AM, Farmer John Weirwell was startled by a ruckus on his land. Venturing outside, he saw his sheep cornered by 11 coyotes, with his guard dogs, Casper and Daisy, bravely standing in the coyotes' path. Casper, seemingly to divert attention from the pregnant Daisy, lunged at the coyotes. In a fierce 30-minute confrontation, he managed to take down several of them. Realizing they were outmatched, the remaining coyotes fled into the forest, but Casper, a tenacious 85-pound Great Pyrenees, wasn't done. He hurdled a four-foot fence, chased, and dispatched a few more. In total, he took out eight coyotes that night. However, Casper then vanished for two days. Initially feared dead, when local residents began discovering dead coyotes, they surmised Casper was hunting the ones that had escaped him initially. He eventually came back, battered and missing parts of his tail and ear. Thanks to John's quick action and the community's support via the Lifeline Animal Project, which helped raise $15k, Casper underwent surgeries and made a full recovery. He now enjoys a cozy indoor life on the farm.

Luckily for the sheep, they can now be killed by humans instead.

An old friend of mine has a cattle ranch. Well he doesn't, but his family has one that has been passed down from his grandfather. Anyways, my friend had a big-ass pit bull that would guard the cows. Sometimes the dog would come home completely covered in blood, none of it his. He would look like he just had the best day of his life. His tail would be wagging his body, he would be wiggling all over and just so stoked that he just murdered an entire pack of coyotes.

That is the best good boy!

Unfortunately the coyotes got away and the local morgue didn't have enough space for some of the town victims and had to send the bodies to the next town over. After all it was a terrible afair.