The messages and images posted by Second Lt. Spenser Rapone have rocked the military community, prompting an investigation.
Circuit Judge Debra Ann Livingston wrote that the former cadet could not pursue damages from two former superior officers.
Simone Askew marched into history Monday as the first black woman to lead the Long Gray Line at the U.S. Military Academy.
Three of the women who testified either decided to leave the academies or were forced out after coming forward.
Military academy athletes will have to do at least two years of active duty before turning pro.