Drayton's educational background is rooted in the Arts Educational School in Chiswick, London, England, where she received her formal training.
Notably, Drayton made a television appearance in the 2013 Downton Abbey Christmas special, taking on the role of Madeleine Allsopp alongside the talented Paul Giamatti.
The following year, Drayton landed a significant role as Amberle Elessedil, one of the main characters, in the MTV fantasy drama series The Shannara Chronicles. The series premiered on January 5, 2016, and marked an important milestone in Drayton's career.
In addition to her screen work, Drayton has also had a successful stage career. She has appeared in The Green Bay Tree at the Jermyn Street Theatre in London in 2014 and as Juliet in Romeo and Juliet at the Stafford Shakespeare Festival in 2012.