I've witnessed the same thing many years ago, a coyote hanging out near herded up deer in late winter. Not pursuing or harassing, just sitting back watching.
Had a video of a doe chasing a coyote away from some feed I had put out. The fool came back a few minutes later and she beat the crap out of him.
That sounds like the time a doe chased a neighbor's dog to the house! Wish I could have seen that. Guess the dog was shaking a bit but no longer went back in the field when deer were out.