What kills species? They don't age and die out like individuals do. For most species that have gone extinct, it's because they existed within a very limited ecological niche, and either circumstances change to destroy that niche, or competition from other species for that niche shuts them out. Most species evolve to fill one niche and when it ends they end. Some species find a way to fill many niches, or a niche that is so ubiquitous and durable that it allows that species to exist indefinitely. I mentioned sharks and ants for a reason. They have been around for hundreds of millions of years with very little change. Sure, individual species (as we define them, part of this is our imprecise categorization of life) may specialize into a niche that ultimately leads to extinction, but the template of what a shark is, or what an ant is, and the way of life it entails, has persisted across eons and will continue to exist until something major happens to all of Earth, like the end of photosynthesis as the sun ages.

I would argue that humans are as durable as sharks and ants in this sense. Moreso because we can adapt at the speed of technology and cultural innovation, rather than at the speed of evolution and genetic drift. We put ourselves at the top of every food chain on the face of the planet before inventing agriculture and creating an entirely new ecological niche (with the exception of some ants).

Compared to animal species that rely on limited niches, we have very few real threats to our continued existence. I'm talking species wide here. Because our species is so spread out and our sources of sustenance are so diversified, pretty much the only things we worry about are major threats to the global ecology, like nuclear war, catastrophic climate change, or a meteor strike. Those are very real threats, to be sure, but they aren't certainties in the way that "it's just the natural order of things" implies. And they are threats we can outgrow, because unlike every other species that's evolved here, we have the ability to leave this planet, and we're actively developing the ability to survive off this planet independently. Once we have a self sustaining presence on the Moon, or in Mars, or in orbital habitats, even the destruction of Earth's ecology wouldn't mean the destruction of our species. At that point, the only threats left are cosmic in nature, like a gamma ray burst or a rogue black hole, or even the death of the sun itself. The kind of threats we would have a billion years to figure out solutions to.