Calling on a windy day rarely works for me, to the point that I don't call when it is windy. The very few coyotes that let me see them on such days, when I was first calling, were extra wary, rarely giving me a shot. Some of the Wyoming callers hunt in the wind anyway because they don't get many calm days, but I can wait and up my odds.
FWIW, a wind anecdote: I spotted a pair of coyotes on a super windy day east of the mountains, in a frozen swampy meadow with patches of willows around it. I slipped to within 150 yards of the coyotes, backed into a willow clump angled across/upwind of them and started hand calling fairly softly. The coyotes disappeared for awhile, then one stepped up on a higher mound about 100 yards in front of me and watched intently. I quit calling. As has happened other times, the second coyote sneaked up close to me while keeping an eye on its lookout partner on the mound.
The wind was violent but I heard the close coyote moving in the willows, possibly as close as 6 feet behind me. But the willow clump was impenetrable to anything bigger than a mink and the wind was taking my scent across the swamp rather than into the willows behind me. I think I did some lip squeeks then but can't recall for sure. I moved to try to see it and the lookout coyote changed body position from facing me to angling away. IME that change from facing the source of the sound to broadside or angling away is a signal to the coyote sneaking close to me to get out of there.
Soon after that the lookout coyote loped away and the other one joined it as they left. I never saw it from the time I started calling till it was leaving, though I could track where it was by watching where the sentinel coyote looked. (On further tangent, I have kept track of approaching coyotes by watching horses and cattle and elk that were watching the coyote).
Bow hunting for coyotes taught me a few things as I watched coyotes for awhile rather than take my rifle shot way out there. Lest this be taken wrongly, let the record show that I love my heavy barrelled 6mm however.