As a junior in high school, Woodard was asked by the school's basketball head coach to join the school's varsity team. She declined, but she kept practicing her game, and, at age sixteen, the five foot eleven inch teenager joined the team. Woodard went on to play college basketball with the University of Kansas in 1978, playing there until 1981. She was a four time all-American there, and she averaged 26 points per game during her four year stay at Kansas. In 1984, she helped the United States' women's team conquer the Gold Medal at the Los Angeles Olympic Games.
In 1985, Woodard made the headlines when she became the first woman ever to play with the Globetrotters. The news coverage of this event gave her much attention, and the fact that she travelled to many countries worldwide with the Globetrotters, helped women's professional teams from many different parts of the world take notice. And in 1987, she was signed by an Italian team to participate in their league. In 1989, she was inducted into the National High School Hall of Fame. In 1990, she was signed by a Japanese women's team to play in their Asian country. She played there until 1993.
Woodard's moment to make her dream a reality came in 1997, when the WNBA's Cleveland Rockers signed her. In 1998, she was selected in an expansion draft by the Detroit Shock.
Woodard is now retired, and she is dedicated to her other career, as a stockbroker in New York.