User blog comment:Zathronas/Analysis by an author: Volume 2 episode 11: No brakes/@comment-25575764-20141024132316/@comment-25195920-20141024213129

Its written Iaido and i would say that it is Iaijutsu because Iaijutsu is meant for war while Iaido is more often meant for contests and is more elegant but less effective and brutal. Also, Iaijutsu is the art of sword drawing and practitioners of that style always start a fight with a sheathed blade and you'll note the masked woman drew her blade all the way out while preparing to fight Neo. Her style is likely a variation of Kenjutsu or another Japanese style and she may indeed know Iaijutsu but it wasn't what she used, or was prepared to use, on that train.