Cadet Helena "Dray" Draybeck is determined to clear her family name by becoming the best fighter pilot in the Terran Alliance. Jordan Bowers is the only cadet who can beat Dray. But Jordan isn't looking for competition. She hides a secret that could ruin her career and alienate her from her only surviving relative. When an attack on the cadets' training facility drags the Terran Alliance into war, Dray and Jordan must confront their families' past in order to survive.
Clear her family name of what? It would also seem to me they need to survive the war in ORDER to confront their families' past.
This is pretty unspecific, and thus uncompelling. Go look at the hooks that worked and see how specifics and vivid language will help improve this.