"Gutierrez went to Miami to spend a few days relaxing with her family after the incident," a representative for the Concurso Nacional de la Belleza de Colombia tells PEOPLE. "She wants to spend a few quiet days with her family over the holidays and unwind, and she plans on addressing the media when she goes back to Colombia."
John Locher / AP
The 21-year-old model, who arrived in Florida on Tuesday morning, was at the center of a major gaffe at Sunday's Miss Universe pageant when host Steve Harvey mistakenly announced her as the winner. Minutes later, when Harvey realized he had misread his cue card, the crown and sash were removed from Gutierrez and given to the actual winner, Miss Philippines Pia Alonzo Wurtzbach.
After the awkward incident, which was broadcast live, Gutierrez remained composed and graceful, even throughout post-show interviews.
"Everything happens for a reason," she said as she tearfully exited the stage. "I'm so happy, thank you for voting for me."
And on Monday, Gutierrez took to Instagram to share several photos of herself wearing the crown and hugging Miss Universe 2014, former Miss Colombia Paulina Vega.
"This moments will always be with me," she captioned the post.
Donald Trump, who sold the Miss Universe organization earlier this year after 15 years of ownership, proposed an unorthodox solution to the mix-up during an interview on the Today show on Monday.
"I would recommend that they have a beautiful ceremony – which is good for the brand and good for Miss Universe – and have a co-winner," Trump said.