Hailey, best known for her role in the now defunct Showtime drama "The L-Word," said she was kicked off a flight because she was kissing her partner Camila Grey. But the airline said they only approached the couple because of customer complaints about the behavior.
The airline claims the couple's foul language after being reprimanded was the reason they were kicked off.
"Although we have reports of what customers characterize as an excessive public display of affection, ultimately their aggressive reaction led to their removal from the aircraft," Southwest said in a statement.
Other passengers confirmed the couple was cursing loudly.
Hailey and Grey acknowledged that they became upset after the flight attendant reprimanded them and told them Southwest is a family airline.
"We take full responsibility for getting verbally upset with the flight attendant," their statement said. "No matter how quietly homophobia is whispered, it doesn't make it any less loud."
Hailey and Gray said they plan to file a formal complaint with the airline.
The Associated Press contributed to this report.