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Most of Nye's work was on the stage. She joined the Williamstown Theatre Festival in 1955 and portrayed a number of roles at the festival through the 1960s and 1970s. Among her credits were the leads in "The Skin of Our Teeth" and "A Streetcar Named Desire". She was in the American Shakespeare Festival that performed "Troilus and Cressida" at the White House during the Kennedy administration.