Dryburgh played on the LET Access Series in 2015, making the cut in three of four events. She played on the Symetra Tour in 2016 and 2017, making three cuts in five events in 2016 and six cuts in ten events in 2017. She played on the ALPG Tour for the 2016–17 season, notching her first professional victory at the Oatlands Ladies Pro Am.
Dryburgh has played on the Ladies European Tour since 2016 with a best finish of T6 at the 2017 Fatima Bint Mubarak Ladies Open.
Dryburgh has played on the LPGA Tour since 2018. Her best finish is T-21 at the 2018 Cambia Portland Classic and the 2019 Pure Silk Championship. She made her major championship debut at the 2019 Women’s PGA Championship.