Flight 567, bound for Portland, Oregon, was preparing for takeoff at 7:50 pm yesterday when the animal stung the female passenger on the hand, spokesman for the airline Cole Cosgrove said.
Paramedics boarded the plane while it remained on a runway and treated the woman, Cosgrove said.
She refused additional medical treatment but did not get back on the plane.
"No one seemed frantic at all, not even the woman who was stung. The flight attendants did a great job, as did the captain," Mike Parker, a passenger on the flight and sports announcer for Oregon State University, told CNN.
The plane, which had arrived from Los Cabos, Mexico, departed Los Angles Airport about 40 minutes after the incident.
The injured woman remained in Los Angeles, according to the airline.