She earned a British Academy Television Award nomination for her performance in the Channel 4 drama Adult Material (2020).

[4] After graduating from ArtsEd, Kelly made her professional stage debut as Ivy Green in On the Town at Regent's Park Open Air Theatre.

Kelly made her television debut as Rhoda Swartz in the 2018 miniseries adaptation of Vanity Fair on ITV.

The following year, she played Michelle Wilson in the first series of the Sky One medical crime drama Temple.

Kelly returned to the Donmar Warehouse in 2022 for Force Majeure, and also appeared in That is Not Who I Am at the Royal Court Theatre.