"The Woman the Unicorn Loved" is a 1981 science fiction short story by Gene Wolfe.
It was first published in Asimov's Science Fiction.
[1] A unicorn is created by genetic engineering and gets loose on a college campus.
"The Woman the Unicorn Loved" was a finalist for the 1982 Hugo Award for Best Short Story.
This article about a science fiction short story (or stories) published in the 1980s is a stub.