Beginning her career in the early 1970s, Moody is best known her roles as Tracy Curtis–Taylor in the ABC television sitcom That's My Mama (1974–1975), Irene Harvey in Roots (1977), Roots: The Next Generations (1979), and Patricia Williams in Knots Landing (1988–1990).
Moody's early acting career was marked by roles in popular television series like "That's My Mama," "Roots," and "Knots Landing."