In 2013, Goth made her acting debut by playing the role of P in the erotic-drama film Nymphomaniac: Vol. II, along with Willem Dafoe in the segment "The Gun." Later she played Sophie Campbell in the Sky Atlantic's crime drama series The Tunnel.
In 2014 Goth appeared in the Future Unlimited's music video for "Haunted Love," which was directed by Shia LaBeouf. Later she appeared in the Stephen Fingleton's directed introductory short film Magpie along with Martin McCann.
In 2015 Goth played the lead role of Milja in the science-fiction thriller film The Survivalist along with McCann, and directed by Fingleton. The film was premiered at the 2015 Tribeca Film Festival on 18 April 2015. She also appeared in the BBC One's crime series Wallander as Hanna Helmqvist.
Goth played Meg Weathers in the disaster adventure-thriller film Everest, along with Jason Clarke, Jake Gyllenhaal, Josh Brolin, and Robin Wright. She played the daughter of Brolin and Wright's characters. The film was directed by Baltasar Kormákur, and was released on 18 September 2015.
In 2015, Goth was filming a lead role in the horror film A Cure for Wellness, directed by Gore Verbinski and scheduled for release on 17 February 2017 by 20th Century Fox.
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