In 2014, Allen appeared in the short film Ethan & Skye. She featured in Bekah Brunstetter's off-Broadway show, Girl #2 in 2017. She made her film debut in the Hulu thriller Run with Sarah Paulson, which became the most-watched original film on the streaming service. She is the second female wheelchair-using actress to star in a suspense film, following Susan Peters doing the same in 1948.
In 2020, Allen appeared as a guest on The Ellen DeGeneres Show.