There is a freely available statistical analysis of deaths caused by animals. Animal-Related Fatalities in the United States by Ricky L Langly, MD. Published in Wilderness and Environmental Medicine, 16, 67-74. (2005)

You should statistically speaking worry far more about domesticated dogs, hornets/wasps/bees if you are allergic, and hitting a deer with your car.

Domesticated cows, horses, and dogs kill far more people than wild creatures do.

Wild bears, mountain lions and snakes kill a tiny fraction of all those dead due to animal attack.

My night hiking tactics are singing and an umbrella. Weird? Yes, to you - animals are terrified of an umbrella. Everyone is terrified of my singing...
"In the beginner's mind there are many possibilities. In the expert's mind there are few." Shunryu Suzuki