Kinda like humans and rattlesnakes, eh Nash?
Both go for the throat on sight.
Except the snakes don't. They generally try to avoid you, just like most cougars. There are the ones that break the generality though.
Generally, a healthy cougar wants nothing to do with man. The old or sick ones view you as "easy meat" compared to a deer I guess.
I wouldn't shoot one on sight. Assuming I saw one, I'd make some noise and give him room to exit while I maneuvered to exit.
However, if he wanted to press the issue at any time, I have no compunction about turning him into a rug if I can. Of course, there are "officially" no cougar in Kansas, so the folks that have killed them here have been issued a ticket.
Seems it's illegal here to shoot an animal that doesn't exist within the State boundaries and is therefore not here at all.
Or something.