Her television roles include portraying Ada Thorne in Peaky Blinders, Ann Walker in Gentleman Jack, Vicky Budd in Bodyguard, code-breaker Lucy in The Bletchley Circle, Labia in Episodes, Alice in Jamestown and Eva Smith in An Inspector Calls Rundle was born in High Wycombe, Buckinghamshire.
[4] Later that year, she guest-starred as Labia in the British/American television sitcom Episodes opposite Matt LeBlanc and Stephen Mangan, which aired on Showtime and BBC Two.
[9] Also, in an interview with Radio Times, in regards to her casting in the series, Rundle stated: I'm just interested in, I don't know, toughening up a bit and playing some… I just want to be in an Italian crime drama!
[10]Rundle played the lead role of Fiona Griffiths, a young detective constable in the Sky Living two-part crime series Talking to the Dead, based on the eponymous novel by Harry Bingham.
[13] She also starred in the six-part BBC One police procedural series Happy Valley as Kirsten McAskill, a rookie policewoman who stops Lewis (played by Adam Long) for speeding and is then run over by his accomplice in a recent kidnapping, Tommy (portrayed by James Norton), a convicted drug offender,[14] thus killing her.
[19] In June 2015, Rundle starred as Jenny[20] in the Channel 4 sitcom Not Safe for Work alongside Zawe Ashton, Tom Weston-Jones, Samuel Barnett, Sacha Dhawan and Anastasia Hille.
[25][26] In 2017, Rundle starred in Sky 1's drama Jamestown as Alice Kett, one of the '"maids to make wives" who sailed 3,700 miles across the Atlantic to marry a stranger in the New World'.
[29]In 2018, Rundle appeared in the six-part thriller, Bodyguard created by Jed Mercurio, with Keeley Hawes and Gina McKee, broadcast on BBC One.
[30] In the same year, Rundle portrayed wealthy heiress Ann Walker, in the joint production between BBC One and HBO biographical drama series about a real-life lesbian couple living in the North of England in the 19th century, titled Gentleman Jack, alongside Suranne Jones and Timothy West.
[32]In 2019, Rundle portrayed Princess Diana in an episode of the Sky Arts' Urban Myths series, with David Avery as Freddie Mercury and Mathew Baynton as Kenny Everett.
[33][34] In 2020, Rundle starred alongside Martin Compston in BBC One programme, The Nest, a five-part psychological drama about a husband and wife who meet an 18-year-old woman who agrees to be their surrogate after years of their trying for a baby.
[35] In an interview with Radio Times, Rundle said she felt happy and pleased that filming is to take place abroad after reading the scripts she received by her agent through email.
[39]In February 2023, Rundle starred in the ITV six-part mystery thriller series titled After the Flood as PC Joanna Marshall, a police officer investigating the death of a man after a natural disaster struck.
[40] In February 2013, Rundle played Bunty Mainwaring in Stephen Unwin's production of Noël Coward's The Vortex at the Rose Theatre, Kingston.