to follow a person or animal quietly in order to catch and attack or kill them [↪ shadow]:
a tiger stalking its prey
We know the rapist stalks his victims at night.
to follow and watch someone over a long period of time in a way that is very annoying or threatening, and that is considered a crime in some places:
She was stalked by an obsessed fan.
3 [intransitive always + adverb/preposition]
to walk in a proud or angry way, with long steps
Yvonne turned and stalked out of the room in disgust.
4 [transitive] literary
if something bad stalks a place, you see or feel it everywhere in that place:
Fear stalks every dark stairwell and walkway.