"We sincerely apologise for the delay in processing Jannine's refund," a Jetstar spokesperson told news.com.au.
"She will be reimbursed by tomorrow and as a gesture of goodwill, we have offered her a travel voucher."
Ms Meyers said that because she and her father were about to board the flight, she could only take it in good faith that she would be refunded the money, as no proof of a refund request, such as a receipt, had been provided.
"By this time my father and I needed to go to the boarding gate and all we could do was simply have faith that they had successfully processed the refund; however, my gut instinct told me otherwise," she told Stuff.co.nz.
She said what followed was a "comedy of errors".
Ms Meyers explained that when she failed to receive the refund after 15 days, she called Jetstar customer service only to be told in a "patronising" way, to be patient.
She also claimed during one call she was told the case had been closed with no refund owing and that she needed to provide a screenshot of her credit card statement to prove otherwise.
"It was an extremely frustrating experience. A $4455 discrepancy is no small error," she told Stuff.co.nz.
She believes had she not kept calling the airline, she would never have been refunded.
"I want to avoid travelling with Jetstar," Ms Meyers told the publication.
