Dizzia performed the role of Eurydice in the Sarah Ruhl play Eurydice in regional theatre and Off-Broadway at the Second Stage Theatre, from June 18, 2007 to August 26, 2007. She performed in another Sarah Ruhl play In the Next Room on Broadway at the Lyceum Theatre, from October 22, 2009 to January 10, 2010. Her performance earned her a 2010 Tony Award nomination for Featured Actress in a Play.