There’s something really terrifying about the concept of being pursued by something that can only walk slowly after. Just slooowly following. You can chill for a while if you get far enough away but it’s still coming.
That’s called “persistence hunting” and it’s how humans hunted all sorts of megafauna to extinction, as well as what let our species become so disperse and so numerous. Our existence is a horror story told from the monster’s perspective.