The fight takes place in the desert. Falcon is on a cliff and Hawkgirl is on the ground. Hawkgirl gets a mace, and Falcon gets his harness.
Hawkgirl is the winner of this match by a good portion
Doesn't Hawkgirl have above human strength? How is the ability to talk to a vulture or raven going to help against that?
Falcon also has impressive strength, though not on the same level.