Minty was signed with power modeling agents Eileen Ford and Nina Blanchard and became an in-demand model, gracing the covers of dozens of magazines as well as advertisements in the 1970s. McQueen saw Minty's photo in an advertisement and had his agent arrange a meeting with her. A few months later they married, and she was by his side till his death. She is the author of a book about their time together, Steve McQueen — The Last Mile.
In 2012, Minty joined forces with the Asbestos Disease Awareness Organization in the fight to ban asbestos, which may have caused the cancer that took her husband's life.