She received two Emmy Awards for her portrayal of Laura Wingfield in the 1973 film production of Tennessee Williams' The Glass Menagerie.

[citation needed] She was accepted into the Actors Studio, where she studied alongside Al Pacino, Robert De Niro, and Dustin Hoffman.

[3] Miles won two Emmy Awards for her portrayal of Laura Wingfield in the 1973 film production of Tennessee Williams' The Glass Menagerie: the Super Emmy for Best Supporting Actress in Drama,[4] and Supporting Actress of the Year.

[5] She has also played supporting roles in various movies, including The Way We Live Now (1970), Bug (1975), The Ultimate Warrior (1975), The Dark Secret of Harvest Home (1978), A Fire in the Sky (1978), Cross Creek (1983), Blackout (1988), Rosencrantz & Guildenstern are Dead (1990), Above Suspicion (1995), Judge Dredd (1995) and Sex and Breakfast (2007).

In 2001, she had a secondary role as the wife of a storekeeper in Tom Selleck's Turner Network Television Western film, Crossfire Trail.