Career
Burke started out her sporting career as a promising cricketer, playing in first-grade competition in Sydney and with the NSW under-19 team as a bowler. After training with Sydney Football Club and being called up as the reserve goalkeeper in a semi-final against Brisbane Roar, Burke decided to focus her energies on football. Canberra United
In October 2012, Burke signed for Canberra United, along with Mackenzie Arnold, as back-up keepers for Lydia Williams, who was recovering at the time from knee reconstruction surgery.
Burke made her debut on 11 November 2012, starting instead of an injured Mackenzie Arnold against Western Sydney Wanderers in a match that ended in a 1–1 draw.
Western Sydney Wanderers
Before the 2014 season Burke joined Western Sydney Wanders, which made Canberra Untied sign Chantel Jones from Perth Glory after Lydia Williams had an Anterior Cruciate Ligament injury, which in turn had Perth Glory sign Mackenzie Arnold from Western Sydney Wanderers. Melbourne City
In September 2015, Burke joined Melbourne City for their inaugural season.