If she has had any real instruction in iaijutsu, then her instructor didn't do a very good job because she is holding her sword completely wrong. It is a clear amateur grip, with a ham-fist jammed up under the tsuka. Anyone with about 3 days of real training would be taught a proper grip. That is the first thing they teach you.
By the way, the naked pics link of a tranny has now made me feel dirty. And I'm at work, so they will probably come and fire me for being a perv. Or just wasting time on bullshido..