Burtaev joined Australia's National Team at 14 years of age, and made her international debuts at the 2010 Swiss Open and the 2010 FINA Synchronised Swimming World Cup.

Burtaev competed for Australia at the 2012 Summer Olympics, and represented the nation at the 2011 and 2013 World Aquatics Championships.

[1] She finished 18th in the technical team event at the 2011 FINA World Championships in Shanghai, China.

[1] The FINA World Championships held in Shanghai, China served as the 2012 Olympic qualifying event for the team.

[5] In 2012, she was selected to represent Australia at the 2012 Summer Olympics in synchronized swimming along with team-mates Eloise Amberger, Jenny-Lyn Anderson, Sarah Bombell, Tamika Domrow, Bianca Hammett, Tarren Otte, Francesca Owen and Samantha Reid.