Official advice
If you come home and find a cougar, the best thing to do is make yourself look as big as possible in an attempt to scare it off. Although Lauren was successful in approaching the cougar gently, this method is not recommended by experts.
If you encounter a wild animal, your number one priority should be getting to a safe place and informing animal control immediately. You should back away from the creature slowly while clearing a path for it leave. Pick up small children and animals appropriately so that you don’t startle or run into them accidentally.