Stevenson married her long-time partner, British anthropologist
Hugh Brody, in 2021. They have a daughter and a son and live in
Suffolk, but she also has an apartment in
New York. She is an
atheist but considers herself a spiritual and superstitious person. In 2008, she campaigned on behalf of refugee women with a reading at the
Young Vic of
Motherland, in protest against conditions at
Yarl's Wood immigration detention centre. Directed by Stevenson, with a script written by
Natasha Walter,
Motherland was described in
The Guardian as "an intelligent and shocking piece of theatre", with
Anthony Barnett characterising it as "skilful and engrossing, a mixture of drama and performance, witness and testimony, music and reporting." Stevenson is patron of the UK registered charity
LAM Action, which provides support, information and encouragement to patients with
Lymphangioleiomyomatosis (LAM) and their families, and raises funds to advance research into LAM. She is also an
Amnesty Ambassador, and is patron of two other charities: Young Roots, a charity for young refugees; and Antenatal Results and Choices, which supports parents who have had a diagnosis of fetal anomaly. On 12 September 2016, Stevenson, as well as
Cate Blanchett,
Chiwetel Ejiofor,
Peter Capaldi,
Douglas Booth,
Neil Gaiman,
Keira Knightley,
Jesse Eisenberg,
Kit Harington and
Stanley Tucci, featured in a video from the
United Nations' refugee agency
UNHCR to help raise awareness of the global refugee crisis. The video, titled "What They Took With Them", has the actors reading a poem written by Jenifer Toksvig and inspired by primary accounts of refugees, and is part of UNHCR's #WithRefugees campaign, which also includes a petition to governments to expand asylum to provide further shelter, integrating job opportunities and education. Stevenson's friends and frequent collaborators include director
Robert Icke, comedian and feminist broadcaster
Deborah Frances-White, poet
Aviva Dautch and concert pianist
Lucy Parham. Stevenson is also a painter and has talked about how her art has helped her through difficult moments such as the
COVID-19 lockdown and the death of her stepson. Stevenson regularly attends protests in support of the people of Palestine. On 30 November 2024 she spoke at the National March for Palestine in London, highlighting the difference in the way the plight of the Palestinian people is portrayed in comparison to other people, and saying: "As artists we cannot remain silent in the face of such gross violations. Violations of human rights and of international law. Violations of the truth and of every human instinct." In September 2025, she signed an open pledge with
Film Workers for Palestine pledging not to work with Israeli film institutions "that are implicated in
genocide and apartheid against the Palestinian people." == Filmography ==