Alek Wek has been the face of ad campaigns for companies ranging from Coach to Michael Kors to Nars and has worked the runways on behalf of designers such as Diane von Furstenberg and Christian Dior. Yet her defining moments extend beyond the runways of New York, Milan, Paris, and London.

Born to a middle-class family in the Sudan, Wek found her life suddenly inverted when civil war broke out among outlaw militias, the Muslim-dominated government, and southern rebels. The conflict not only killed two million people, it created an entire community of refugees, including Wek's...