[3][4] A production of Jerusalem starring Mark Rylance that Carter saw in London when he was 16 inspired him to pursue acting.

That same year, Carter landed his first major role as a main character Peter "Pin" Hawthorne in the Netflix series Free Rein.

[8][9] He starred as Alexander Flint in the 2018 stage production of Harley Granville-Barker's Agnes Colander in the Ustinov Studio at the Theatre Royal in Bath.

[16] Many publications singled out the Six of Crows half of the story for further praise, including Rolling Stone, Vulture, and CNET.

[25] As of 2023, Carter plays surgical student Gideon Fletcher in the Paramount+ adaptation of Elizabeth Macneal's The Doll Factory.