Along with the rest of the cast of Homeland, Saylor was nominated for the Screen Actors Guild Award for Outstanding Performance by an Ensemble in a Drama Series in 2013 and 2014.

In fourth grade, she visited Los Angeles for the summer where she booked her first professional job: a voice-over as young Meadow in HBO's hit television series The Sopranos.

[9] In June 2014, Saylor made her stage debut at the Manhattan Theatre Club as Penny opposite Cherry Jones and Zoe Kazan in When We Were Young and Unafraid, written by Sarah Treem and directed by Pam MacKinnon.

[11][12] Saylor played Kevin Costner's character's daughter Julie in the sports drama McFarland, USA, which was released on February 20, 2015.

[18] In 2017, Saylor was back at Sundance to premiere the film Novitiate, in which she plays a young nun opposite Melissa Leo, Margaret Qualley and Diana Agron.

[21] Morgan starred opposite Ben Rosenfield in the independent film You Mean Everything to Me, written and directed by Bryan Wizemann, released in cinemas in the US December 2021.