I find the threat of predation satisfying in a short story because, when done well, it solicits a visceral reaction. The etymology of the word visceral can be traced to the Latin word viscera, which was used to refer to internal organs; the plural term, viscus, refers to “flesh.” A visceral reaction refers to an instinctual reaction, as opposed to an intellectual reaction.
Megan Mayhew Bergman examines the relationship between hunter and predator in literature over at the Ploughshares blog.