Before entering politics Davidson's career has focused on advocacy for women, including as convenor of the Women's Electoral Lobby.[3]
At the 2020 Australian Capital Territory election Davidson won one of the five seats in Murrumbidgee.[2] In the Legislative Assembly Tenth Assembly she was Minister for Disability (until December 2023), Minister for Corrections (from December 2023) and Justice Health, Minister for Mental Health, Minister for Community Services, Seniors and Veterans, and Minister for Population Health (from December 2023).[4]