Following her graduation from West Virginia University, Burton returned to her hometown of Perth and signed with the West Coast Waves for the 2012–13 WNBL season. After averaging 8.1 points and 5.4 rebounds in 24 games over her rookie season, she recommitted to the Waves for the 2013–14 season. In her second season, she averaged 6.8 points and 4.7 rebounds in 17 games.
Later in 2013, Burton helped the Australian Opals win the gold medal at the FIBA Oceania Championship. In 2014, she won another bronze medal with the Opals, this time at the FIBA World Championship. She won another gold medal with the Opals at the 2015 FIBA Oceania Championship.
In April 2014, Burton signed with the Melbourne Boomers for the 2014–15 WNBL season. In 22 games for the Boomers, she averaged 7.0 points and 5.1 rebounds per game.
On 17 April 2015, Burton signed with the Perth Lynx, a day after the rebranding of her former team the West Coast Waves. She appeared in all 24 games during the regular season, helping the Lynx finish second on the ladder with a 16–8 win/loss record. The Lynx went on to defeat the first-seeded Townsville Fire in the semi-finals, thus advancing to the WNBL grand final for the first time since 1999. There they were outclassed by the defending champion Townsville (who made it to the grand final via the preliminary final), losing the best-of-three series 2–0. She appeared in all 27 games for the Lynx in 2015–16, averaging 6.0 points and 5.1 rebounds per game.
On 27 May 2016, Burton re-signed with the Perth Lynx for the 2016–17 WNBL season. On 25 November 2016, she played her 100th WNBL game.
On 31 August 2017, Burton re-signed with the Perth Lynx for the 2017–18 WNBL season. On 17 November 2017, Burton played her 100th game with the Perth Lynx, becoming the eleventh player in team history to do so.
