You have accomplished a tough feat. I've taken a couple of coyotes with a bow, but I reckon it was more lucky than anything.
I disagree with the "only good coyote is a dead coyote" sentiment. Although I have, and will, hunt them, I couldn't imagine the West without them. I live two long bow shots from the coast fork of the Willamette River. Lately of an evening if I've stoked the fire a bit more than I should and need to crack a window for air, I can hear the nightly congregation called to order. Occasionally, I slip outside after the girls have gone to bed, and cut through the corner of the neighbors field to the larger pasture along the river's edge. If the moon is full and the sky is clear, like it's been the last few nights in the great state of Western Oregon, I'll catch a glimpse of the song dogs as they lope by.
Would hate to lose those times.
Stan