Abbasi said she was searched after being taken off the flight and then told she could reboard the flight, but the pilot and crew said they were not comfortable with her flying.
Abbasi said she was given an apology and allowed to board the next flight, but the incident caused her to miss a deadline for school.
Asked for a response to lawsuit, Southwest said it Abbassi's concerns were adddressed "in good faith.
"When the incident occurred in March, we apologized to the customer for her inconvenience," Southwest spokesman Brad Hawkins said in a statement that was provided to The Hill. "In this case, our employees raised a safety concern based on the customer's behavior, and we had a duty to thoroughly address those concerns before clearing the customer to travel.
"We have a vast, diverse workforce, and we celebrate diversity among our cmployees and our customers," Hawkins continued. "We do not discriminate against anyone for any reason, and we've been recognized as a leader for our diversity and care for all of our customers throughout our 40 years of service."
-This post was updated with new information at 3:52 p.m.