I would be alarmed too, but remember that cougars don't "hunt" people (bears don't either). That doesn't make an attack impossible, but very, very unlikely. It is far more dangerous, statistically, to ride in a car, than to encounter a cougar in your yard. That's not factoring the "heart attack" factor.
As for your pets, controlling the predators is one avenue, but I would focus on predator-proofing their housing. That is the only sure way to keep them safe and let you sleep well at night. Predators are smart and they can get frustrated, enough frustration trying to penetrate your coop will send them elsewhere and that is the best for everyone, including the predator.
A large cat in town is likely looking for territory and can't get prime real estate because it is weak in some way (young or old, probably). The bad news is they will get habituated to people and encounters are more likely, the good news is their presence should cut way back on the coon/possum/skunk/fox/etc population. Cougars are apex predators and all the other predators are at great risk of becoming dinner themselves. If all the (remaining) predators are on high alert because they fear for their lives, your chickens might actually be safer with a cougar patrolling the neighbourhood.
As for your pets, controlling the predators is one avenue, but I would focus on predator-proofing their housing. That is the only sure way to keep them safe and let you sleep well at night. Predators are smart and they can get frustrated, enough frustration trying to penetrate your coop will send them elsewhere and that is the best for everyone, including the predator.
A large cat in town is likely looking for territory and can't get prime real estate because it is weak in some way (young or old, probably). The bad news is they will get habituated to people and encounters are more likely, the good news is their presence should cut way back on the coon/possum/skunk/fox/etc population. Cougars are apex predators and all the other predators are at great risk of becoming dinner themselves. If all the (remaining) predators are on high alert because they fear for their lives, your chickens might actually be safer with a cougar patrolling the neighbourhood.