Easyjet said it would launch an investigation into the incident on the 1pm flight.
Ms Weir had arrived early for the flight from her home in Cushendall to check in on time and get to the gate early.
“A lady in a high viz jacket came and took me and another wheelchair user down to the runway as passengers began boarding at the gate,” Ms Weir said.
“We waited for everyone to get on and thought it was our turn next, but then the steps were taken away from the plane and they closed the doors.”
She added: “We were sitting there waving and screaming to the pilot. But he shook his head to say no and just kept moving off with my suitcase in the hold.
“All the able-bodied people were on board and we were left behind, what else could you call it other than discrimination?”
Passengers put on later flight
Ms Weir said she was in tears and a “basket case” after the incident. People had paid for tickets to hear her Irish tales of magic at the Penicuik Community Arts Association but were left disappointed.
“My daughter has pointed out ‘you’re not Taylor Swift’, but that’s not the point,” she told the Belfast Telegraph.
“I can’t blame easyJet for the actions of one person, but I do expect to be compensated for the inconvenience, stress and loss of earnings,” she added.
“We have urgently raised with the provider and our ground handling team to understand why this happened,” an Easyjet spokesman, who said the company was “very sorry”, said.
The stranded passengers were put on flights later on Friday evening.