The couple, Charlie Willis and his wife Laura, spoke to the Sun about how Ramsay impacted their special day.
"The whole thing was a complete kitchen nightmare," Charlie told the outlet.
"We had both worked so hard to save for that day and we felt like extras on a game show."
Executive producer Sharon Powers apologised to the couple in writing.
"I am mortified that we affected your special day and I can assure you that it was never our intention to upset you or your guests," she wrote.
"As you are aware, we have now paid for your wedding in full, which I hope goes some way towards making amends and acknowledging how sorry I am that your special day was affected, albeit unintentionally, by us."
However, Ramsay's spokesperson maintained "there was no gatecrashing".
"Studio Ramsay [was] booked to film on the beach the same day as various weddings and events were taking place," his spokesperson told the Daily Mail.
"It's a real shame this couple are still complaining. Their bill was generously covered, they happily chatted with Gordon on the day, they didn't have exclusive use of the beach and all the other beachgoers had a really great time joining in on & off camera."