Sounds fair enough to me; we see Joe Public being refused travel on "Airline" or "Airport" or whatever. Why should celebs be any different?
Her comment "Don't you know who I am?" reminds me of the story of the guy in the US who was wanting to jump the queue for check in. When told by the female attendant he would have to join the queue with everyone else, he shouted "Do who know who I am?"
...at which point the check in agent called to the entire queue, "Excuse me, there is a man here who doesn't know who he is; can anyone help?"
Man says "F*** you!"
Attendant says "Sorry sir, you'll have to get in line for that, too"