2 of the best female fighters ever created,who do you think will win in a fight based on fighting skills alone,no weapons.
Leaning towards Xena, pretty much every significant event in Greek mythology is attributed to either her or Hercules in their respective series. When she gets the power to kill gods (just nullifies their immortality when fighting her, doesn't affect her or their powers) she takes out Poseidon, Hades, Artemis, Discord, Hephaestus, and Deimos all at once (6v1) in what is basically a complete roflstomp (edit: I misremembered, a couple of them live and she kills them later), later killing Athena.
She takes out Mephistopheles and causes Lucifer's fall from grace so she doesn't have to replace him as the king of hell. She steals Odin's golden apples in order to restore Ares' and Aphrodite's godhood, She kills Indrajit, Regularly fights on even terms with Ares (who was her original trainer).
Her best feats are with weapons, but her unarmed feats are pretty decent too, most notably the pressure point stuff. Pressure points in the Xena universe have been shown to eliminate pain, paralyze people or parts of people, explode brains, stop hearts and/or lungs, put and keep people in coma's.