Career
Currently, Čukić is working at a fashion agency in New York City. She began her career in the fashion industry as a model and represented Bar at the Mission Montenegro pageant (Crna Gora) in 2014. Mission Montenegro 2014
Automatically, Maja, as the 1st Runner-up, was appointed as Mission Universe Montenegro 2014 by the Mission Montenegro Organization.
In 2013, Montenegro was withdrawn from the Mission Universe pageant after withdrawing Nikoleta Jovanović, Mission Montenegro 2013.
There was no Montenegrin delegate in the Mission Universe 2014 pageant either. In 2014, Čukić was announced to be participating in the Mission Universe 2015 pageant, representing Montenegro and marking the country"s return.
Mission Universe 2015
Čukić represented Montenegro at the Mission Universe 2015 pageant on December 20, 2015.