"I don't care if you were born here, you don't have the right to be here. I was f****** born here, I own this f****** [unclear] now get the f*** off, you ugly f****** Muslim b****," the woman says.
The woman then says that just because Khan was born here, her father and mother weren't.
The woman eventually walks off behind a building.
Khan posted on Twitter that she had contacted police and was going to file a report.
"I'm covered in beer - I feel disgusting," she wrote.
"[C]ried a bit in the car afterwards - hands still shaking."
Khan received an outpouring of support after posting the video.
In response to one tweet, she wrote: "There were 5 of us Muslim girls together - we're back in Akl now at the police station filing a report."
A police spokesman confirmed they were "aware" of the video and a formal complaint had been laid.
"Police are assessing the information," the spokesman said.