Hi backpackpack. No, you're not being silly, hundreds of people are eaten every year by mountain lions in Southern California alone.
I am quite serious in that you're not being silly, but I am of course being silly in my second assertion. Your chances of being attacked, let alone killed by a mountain lion, are roughly equal to winning the lottery. But that is NOT how it feels! I have seen mountain lions 6 times on trail runs where I have come around a turn and unexpectedly frightened the poor things. They disappear each time and, even though I am running (you'll hear people say, "Never run if you see a mountain lion, it will make them attack like a cat after a mouse!") the truth is they have evolved to be extremely cautious creatures and they seem to be pre-programmed to prey only on selective creatures like deer. Consider this from WIkipedia:
A total of 125 attacks, 27 of which fatal,[1] have been documented in North America in the past 100 years. Fatal cougar attacks are extremely rare and occur much less frequently than fatal snake bites, fatal lightning strikes, or fatal bee stings.[citation needed] Children are particularly vulnerable.Compare that to snake bites...
"It has been estimated that 7,000–8,000 people per year receive venomous snake bites in the United States, and about five of those people die.[5] Most fatal bites are attributed to the eastern diamondback rattlesnake and the western diamondback rattlesnake." So, in the past 100 years, perhaps 750,000 snake bites, and around 500 deaths. Almost 20 times as high as mountain lions.
Compare that to lightning strikes...
According to the NOAA, over the last 20 years, the United States averaged 51 annual lightning strike fatalities, placing it in the second position, just behind floods for deadly weather.[14][15] In the US, between 9% and 10% of those struck die,[16] with an annual average of 25 deaths in the 2010s decade (16 in 2017). So now we're talking almost 100 times as high.
This fear is akin to being afraid to fly when in fact the drive to the airport is far more dangerous than the flight itself. We all feel it, but probably the safest place you will ever be is sitting by a campfire out in the mountains enjoying a beautiful star filled sky.
For me, the remedy was repeated exposure. After thousands of hikes and runs and camping trips, after seeing mountain lions and bears and rattlers, I have yet to receive a single injury from an animal other than a nasty little mosquito.
z