After Jordan's performances of two Billie Holiday songs, "Gloomy Sunday" and "I'm a Fool to Want You", on Norway's Got Talent, as well as "Fly Me to the Moon" on a TV talk show, all went viral online in March 2014, she was featured in Time, Daily Mirror, People, and other news outlets around the world. She continued in the competition singing Nancy Sinatra's version of "Bang Bang (My Baby Shot Me Down)" live in the semifinals, and won with her performance of the George Gershwin's "Summertime", in the style of Ella Fitzgerald and Louis Armstrong's 1958 recording of the song.
In September 2014, she performed "Fly Me to the Moon" on the US television show The View, bringing her wider fame in the United States. She also performed on several TV 2 programs in Norway over the next few years, including multiple appearances on Allsang på Grensen (Singalong at the Border, referring to the border fortress of Fredriksten where outdoor concerts are held) and on TV4 in Sweden.
In December 2014, she realized a personal ambition by performing for Peace Prize recipients Malala Yousafzai and Kailash Satyarthi at the Nobel Peace Prize Concert.
Jordan's recording debut, the three-song maxi-single My Christmas, was released in December 2014. To support the release, Jordan performed the songs on multiple TV shows, including an appearance on Christmas day.