There’s so little left in my part of Texas, what with the massive ugly developing and all. I think I’d say I’d be most likely to be killed by a head injury caused by tripping while trying to avoid stepping on all those little pink geckos that congregate at my door when I’m coming home every night. Stop running under my feet, guys! I think you’re cute!
Either that or a housecat. Specifically, Max. He sleeps on my face a lot.
I can’t believe how much time I’ve sat here and thought about this. 
I live in a middling sized city and live a life that rarely puts me in contact with large animals. Very occasionally, like maybe twice a year, we might visit my husband’s family’s land where they raise cattle, and even less occasionally, I might be in a position where one of those humongous beasties could hurt me if they chose. (Not only am I a city slick who’s kinda scared of the gigantic cows, but they are also the tamest, dumbest animals ever. And they smell bad and flies are around them. So I’m not exactly rushing up to give them pets and skritches when we visit.)
I work as a volunteer at an animal shelter, but I am never managing more than one dog at a time, and they are not dangerous animals. The worse I’ve experienced is one of them knocking me down inadventently in his enthusiasm to get back to his kennel and his food bowl. In the entire history of the shelter, the worst injuries they’ve had have only been a few moderate bites, and those only rarely and usually when the volunteer made some sort of mistake in handling the animal. There has never been an all-out attack.
About the only way that my cats, could kill me would be to trip me and cause me to fall and break a hip or fracture my skull or something like that. I don’t think that’s a likely scenario for me yet… maybe in 30-40 years. I have slipped in an unsuspected puke puddle and wrenched the hell out of my knee, though. I think they just want me crippled so that I have to stay home, a constant captive lap for them.
The only other animal-related danger thing in my area to which I can give any sort of credence is West Nile virus. I’m one of those people who is extremely attractive to mosquitos for whatever reason. Though I do try to be responsible about using insect repellent during the high season, I always get inadvertent mosquito bites. I don’t worry about it since I’m in good health and not immuno-suppressed in any way. It might become an issue in 30-40 years, tho.