Playing opposite Richard Basehart, Kevin McCarthy, and William Hansen, Wilcox won the Clarence Derwent Award for her performance in "The Day The Money Stopped" by Maxwell Anderson and Brendan Gill, which lasted only three nights on Broadway in 1958. She starred in the 1961 play "Look, We've Come Through" with Burt Reynolds on Broadway. She replaced another actress in the 1963 revival of Eugene O'Neill's "Strange Interlude" and then went on to do the 1965 play "The Family Way", both on Broadway.