Her official film debut and role in Hondo, opposite John Wayne, garnering her a nomination for the Academy Award for Best Supporting Actress. Prior, she appeared in an uncredited role in Taxi. Speaking to a Kirksville newspaper, she said: "Actually Hondo wasn't my first movie. I had one small, but satisfactory scene in a Dan Dailey picture called Taxi, which was filmed in New York. " Page was blacklisted in Hollywood after her debut in Hondo based on her association with Uta Hagen and did not work in film for nearly ten years. Her work continued on Broadway playing a spinster in the 1954–1955 production of The Rainmaker, written by N. Richard Nash; and as the frustrated wife whose husband becomes romantically obsessed with a young Arab, played by James Dean, in the 1954 production of The Immoralist, written by Augustus Goetz and Ruth Goetz and based on the novel of the same name (1902) by André Gide. Page remained friends with Dean until his death the following year and kept several personal mementos from the play—including two drawings by him. After Page's death, these items were acquired by Heritage Auctions in 2006.