Redman's LPGA Tour victories include the 1997 JAL Big Apple Classic and the 2000 First Union Betsy King Classic. She was a member of the Solheim Cup U.S. Team in 2000, 2002, 2003 and 2005. As an amateur, Redman was the 1983 Ohio State Junior champion. In 1986, she was a quarterfinalist at the U.S. Women's Amateur Championship and finished as the second-lowest amateur at the U.S. Women's Open. She played collegiate golf at Indiana University, where she won four tournaments, twice was named an All-American and four times earned All-Big Ten Conference honors. In addition, she was the Big Ten Conference champion in 1987.