[1] She began her career with guest roles in the television series Top Boy, Coming Up, Chasing Shadows, Humans, Doctor Who, and Black Mirror.

[13] Part of the Marvel Cinematic Universe, the film also starred Chadwick Boseman, Michael B. Jordan, Lupita Nyong'o, and Danai Gurira.

[14][15] Wright won the NAACP Image Award for Outstanding Breakthrough Performance in a Motion Picture for her work in the film,[16] and reprised the role in Avengers: Infinity War, which was released two months later.

This play was set in 1895, when a Black male Catholic teacher and missionary called Chilford occupies a mission house in Rhodesian Salisbury.

[20] Wright plays the character of a Jekesai, a young Rhodesia girl who is being forced into marriage by her uncle, but luckily is saved by Chilford.

[22] In April 2019, Wright appeared alongside Donald Glover and Rihanna in Guava Island, a short musical film released by Amazon Studios,[23] before reprising her role as Shuri in Avengers: Endgame.

[28] Wright earned "Best Supporting Actress" nominations for this role, bringing "focussed energy and passion" to her depiction of the real-life Jones-LeCointe, as noted by The New Yorker.

[31] During the filming of a chase sequence in August 2021, she fractured her shoulder and suffered a concussion following a motorcycle accident, causing production to pause while she recuperated.

[32] Wright credits her Christian faith, which she discovered after attending a London actors' Bible study meeting, with helping her overcome the depression.

[31] Later that month, Wright condemned The Hollywood Reporter for an article that included her amongst awards-season prospects with "personal baggage", in which its author Scott Feinberg compared her past comments with men accused of abuse and sexual misconduct.

[40] She reiterated that she had already apologised for her comments two years prior and had remained silent on the topic, and accused both the publication and Feinberg of having an "agenda" against her, which she described as "vile" and "disgusting" behaviour.