The Twilight actress stars in the comedy about Hollywood at the Lucille Lortel Theatre.
The actress will be replaced by stage and screen veteran Elizabeth Reaser.
Terry Kinney directs the production, which also stars Callie Thorne, Frederick Weller, and Gia Crovatin.
The environmentally minded season will also feature three international adaptations of Shakespeare's The Tempest.
The film actress chats about beauty, female empowerment, and the stress-dreams that preceded her first stage role since fourth grade.
MCC Theater will present the world premiere of LaBute's latest comedy this fall.
Bekah Brunstetter and Bruce Graham will also debut plays in the festival, which kicks off tonight.