Lady Deathstrike vs. Batman

The good lady has arrived in Gotham City, and by an unfortunate series of events has ended up with Batman aiming to take her out. So, in a battle which of these skilled martial artists ends up triumphant? Does Batman's superior martial arts and intelligence give him the match, or do Deathstrike's blades and strength win through?

Lady Deathstrike is not in the same fighting skill level
as Batman or Wolverine or Captain America.

She'll slash at him, but he'll dodge it, then knock her out
with some gas capsuls, or a few well-placed kicks.

Nice to see though.