Correctly if I'm wrong, but didn't Bourne kill Desh? Desh was an upgraded version of Operation Treadstone (Blackbriar). Desh was faster, more powerful and versitile. Bourne was more experienced and Bourne defeated him in h2h. The girl wouldn't be able to last more than a few seconds against Desh. Maybe a minute against Bourne.
After all, she wasn't trained to be a 30 million dollar weapon.
Bourne fights: http://youtu.be/uJ4dFcm4ML0