Well, I have never seen a coyote in my neighborhood.
I have seen lots and lots of deer. The deer are destructive and eat everything especially gardens and flowers. Deer are in effect a menace
This year, there are no deer, no Bambi’s as those that previously literally grew up in the neighborhood
Why? Some say coyotes
(there is also a dearth of stray cats)
The foxes disappear first, then the cats. Then they attack targets of opportunity.
Old time farmers know how to handle them, and they don’t use guns.
We have packs of the Eastern Coyote here in southern NH.
They have learned that your family cat is much easier prey than squirrels, chipmonks, etc.
The other major predator are Fishers(also known as fisher cats). I had 1-3 cats disappear over a five year period at my former house.
You can always tell new residents to the area west of Nashua.
They will print up notices of their “MISSING” cat “Fluffy” and put them on telephone poles around town. Sometimes on the local Facebook page. They have no idea that their cat has been eaten.
The other main reason for coyotes and other predators to visit your backyard is the brand new CHICKEN COOP with dinner inside ready to eat. A lot of new suburban/country residents decide to get chickens when they first move into the area. Again, they have no idea that you are giving an open invitation to every racoon, fisher, bobcat, fox, coyote, bear and maybe even mountain lion to come to your house for a free meal.
My daughter/son in law did this. After the third time that the bear broke into and destroyed their coop they decided it was easier to get eggs at the grocery store.