In this situation, I had pull a 3S (shoot, shovel, shut up) on the cougar. I'd make sure that the Mrs. knew to NEVER, EVER tell anyone about it, not her sisters, not her mom, the kids, NO ONE. If anyone ever asks about the cougar, we'd just tell them that it must have wondered off.
That is for certain. Miss the lion and it's likely to swat the spear right out of your hands or pin the end of it to the ground as it leaps over it to you.