Earlier in her career, she served 14 years as a Wisconsin Circuit Court Judge and worked as an assistant district attorney in Milwaukee County.
In 1984, she left the office to enter private practice with the firm Murphy & Brennan.
Greene had been appointed to the role seven months before the election to replace Judge Robert W. Landry, who had retired.
In 2005, she was appointed Chief Judge of the 1st Judicial Administrative District by the Wisconsin Supreme Court.
She was re-appointed to a second two-year term as Chief Judge in 2007, but in 2008, Governor Jim Doyle appointed her to the Wisconsin Court of Appeals following the death of Judge Ted E. Wedemeyer, Jr.[2] She was re-elected to the Court of Appeals without opposition in 2009 and 2015.