Looking for this short story

Hello,
I apologize if this is the wrong forum for this but, I am looking for this short story I read a few years back, I dont remember the author or title, just the summary of the story.

Its basically about a woman who lives alone. Who sees on the TV that there is a killer lose in her town, she goes to work and such. And when returning home late at night, notices that she is being followed. She runs home, closes and locks her door and hears a man clear his throat. This is where the story ends.

I have to do an illustration of a short story for class, and for some reason this story has been stuck in my head. Any help is appreciated.