She has appeared in the films St Trinian's 2: The Legend of Fritton's Gold (2009), The Three Musketeers (2011), Carrie (2013), Endless Love (2014), and Wonder Woman 1984 (2020).

Her television work includes the Doctor Who episode "The Vampires of Venice" (2010) and the BBC historical drama series Poldark (2016–2019).

Her mother, Vanessa Mary Theresa (née Hubbard), is the former wife of socialite Sir Dai Llewellyn, 4th Baronet.

Through her maternal grandfather, Wilde's ancestors include Montagu Bertie, 6th Earl of Abingdon, General the Hon.

Spotted at age 14 by Naomi Campbell, she joined her agency Premier Model Management and appeared in campaigns for companies including L.K.Bennett, Lacoste, Abercrombie & Fitch, Burberry, Topshop and posed for InStyle, Cosmopolitan, Vogue and Nylon.

In December 2009, Wilde made her acting debut in the adventure comedy film St Trinian's 2: The Legend of Fritton's Gold.

The film was directed by Boys Don't Cry director Kimberly Peirce and starred Chloë Grace Moretz and Julianne Moore.