Having livestock and gardening hobbies gives an entirely new perspective on wildlife.
It always amazes me how one neighbor in a suburb thinks racoons are cute and intentionally feeds them while other neighbors are trying to raise sweet corn and chickens.
One neighbor loves to see deer and rabbits in the backyard, feeds them, gives them safe haven, posts deer-crossing signs everywhere, protests against hunting and control efforts at every opportunity. The next door neighbor tries desperately to keep their pride-and-joy plants from being decimated by rapidly multiplying and hungry deer and rabbits, and has to treat a child for Lyme's Disease acquired from a deer tick in their own backyard.
I personally have a neighbor who heard stories of a bear with cubs and/or wolf sightings in the field next to my house and wanted me to call her if they returned because she "wanted to see one in The Wild". Now, I do NOT consider the corn field next to my house as "The Wild" personally, and I am not thrilled with wolves and/or bears in the vicinity of my oblivious children, carefully-tended blueberries or pet chickens. This is West Central Wisconsin, we haven't dealt with wolves or bears in 70 years. Most of us did not move here to be in "The Wild" and those of us who grew up here do not necessarily think it is progress to revert to "The Wild".
When North America was a colony of European powers, we did not want to emulate the policy where all wildlife belonged to the King, and poaching the King's Deer that was eating your cabbage supply was punishable by death. So wildlife belongs to everyone. And everyone has a different opinion on how it should be managed, especially close to human habitation.
I hope the OP is able to find a way to protect the cougar while protecting their neighborhood.