"Hatching Season" is a short story by Harry Turtledove (writing as Eric Iverson), Analog 12/85, reprinted in
Dinosaurs!, edited by Jack Dann, Ace 1990.
Focusing on time-traveling paleontologist Paula Shaffer and her field study of hadrosaur hatching season in the Cretaceous Period. After imprinting herself on a newly hatched hadrosaur, Paula finds herself running for her life from predatory gorgosaurs. After a harrowing night lost in the woods, Paula and her hadrosaur are able to make their way back to the hatching grounds, and Paula returns home.