Greene was one of the most prolific scorers in NCAA Division II Women's Basketball history. She finished her career at Jefferson (then known as Philadelphia Textile during her playing days) with 2,490 points, which is still good for 11th in Division II history.

Despite only playing three seasons in the NYCAC (Jefferson played in the Mideast Conference during her freshman season of 1990-91), Greene's name can be found throughout the conference's record book. She ranks in the conference's all-time top-10  with 1,962 points (6th), 707 field goals made (5th), 466 free throws made (9th), and 348 steals (9th). She also holds the conference single-season records with 782 points and 26.1 points per game, both accomplished during her senior season of 1993-1994.

Greene's play was recognized with numerous honors throughout her career. She was a three-time NYCAC Player of the Year and All-Conference First Team selection and twice earned the ECAC Player of the Year award. She earned multiple All-American nods, as well. In 1992 she earned a spot on the American Women in Sports Federation All-America Second Team and followed in 1993 with a selection to the Kodak All-American Honorable Mention list. After her aforementioned 1993-94 season in which she led Division II in points per game, Greene was named to the Women's Basketball Coaches Association (WBCA) All-America First Team and was also named the Champion Division II National Player of the Year.

Greene excelled during postseason play, as well. She led Jefferson to NYCAC titles in 1993 and 1994, earning Tournament MVP honors both seasons. She earned the NYCAC Tournament MVP honor in 1992 too despite Jefferson falling in the championship game to Pace. To date, she is the only student-athlete from a losing team to earn the conference tournament MVP award.