OK, but what if my corpse, after I suffocate and/or boil to death in the vacuum of space thanks to my disastrous time travel mishap, ends up colliding with a small space rock in such a way that a chain of ever-larger space rocks get knocked off-course from where they would have otherwise gone and thus causes the K-Pg extinction event (a.k.a. the extinction event that killed all the non-avian dinosaurs) to never happen?
"Cynic, n. - A blackguard whose faulty vision sees things as they are, not as they ought to be."
- Ambrose Bierce, "The Devil's Dictionary"