Dexter had been brought to Newark Liberty International Airport in the hopes of joining its owner on the flight to LA.
"I really think that the whole emotional-support animal thing is just getting out of hand", Laurie said in an interview Tuesday afternoon.
A United Airlines spokesperson, however, claimed that the woman had been warned that her peacock would not be allowed on board.
"We explained this to the customer on three separate occasions before they arrived at the airport", the airline said in its statement to the peacock network.
It's not the first time that passengers have tried to bring support animals on flights, with a turkey brought onto a plane.
A woman was recently denied her emotional support animal when she attempted to fly on United Airlines, a peacock.
While the woman offered to pay for the peacock's ticket, the blog said, United would not let the animal onto the flight.
Delta has a specific policy regarding service and support animals.
"We know that some customers require an emotional support animal to assist them through their journey", she said. In response, Delta is imposing new, stricter regulations around emotional support animals beginning March 1.
Department of Transportation guidelines state that some "unusual service animals" can pose a safety or health risk and that airlines are not required to transport them, according to Hiller. The airline said it saw an 84% increase since 2016 in incidents involving animals that were not properly trained, which included urination, defecation, and attacks on passengers and crew members.
Canadian carrier WestJet allows miniature horse and monkeys to board as emotional support animals - with proper documentation.
Delta issued its crackdown after a passenger's 70-pound support dog bit another customer in the face.