Alexander had a standout career at the University of Portland from 2003 through 2006, where she backstopped the Pilots to the 2005 NCAA Division I national championship, capping off an undefeated season. She saved two penalty kicks in the penalty shootout of the semifinal match against Penn State; that performance helped to name her the NCAA tournament's Defensive Most Valuable Player.
At Portland, she became the program's all-time leader in saves with 263, shutouts with 39, and finished with a 0.59 goals-against average, which is fifth in program history, earning All-American status.
On October 6, 2008, she was drafted in the first round (seventh overall) by Sky Blue FC in the 2008 WPS General Draft. She remained on the roster for Sky Blue in WPS throughout the 2009 season, earning a winner's medal for the inaugural WPS Championship.
Alexander is currently a free agent for the 2010 season.
Alexander has won caps for the United States at the Under-21 and Under-23 levels. For the U-21s, she started every match in the 2007 Nordic Cup, and returned to the Nordic Cup with the U-23 team in 2006, 2007, and 2008.
Alexander is the founder of a photography site, Cori Alexander Photography, which displays her portfolio containing a number of galleries. These galleries include images of nature settings, bridges such as the Golden Gate Bridge and the Brooklyn Bridge, and an ongoing collection titled "365", designed to capture one moment for every day of the year.
Her brother, Clint Alexander, is the director of East Coast casting for the Fox Broadcasting Company. Her mother works for the Contra Costa Times, and her father has battled multiple sclerosis for many years. Portions of sales that she makes out of her photography site go to the National Multiple Sclerosis Society.