At the end of the ElektraXKirigi battle, she pulls a sheet of her face, turns around, and sees Kirigi spiral toward her. Her two sai block his katana and she is thrown to the ground. He then forces her up, katana to her throat. She had no chance to pick her sai up from when she fell. Then, to make things worse, he kicks her backwards and you can clearly see her grasping at the air with open hands while flying backwards.
She is then covered in sheets, without her sai. Moments later, she is forced to throw the sheet off of her and run up the stairs to save Abby. Meanwhile, her sai are still on the ground from where she was knocked down.
Then, when she meets Kirigi at the well, she remembers that, long ago when she was young, she buried her families ancestral sai with her mother, and that her mom is buried on the other side of the well. That's why, if you watch carefully, you'll see her jump over the well, somersault over and then stick her hands into the ground, where dust clouds appear. Then the rolls out and flips them downwards. It's explained in the Director's Cut / novelization.
That's probably why Bowman said that the story moves slower, not forced by Hollywood's action standards. Small things like that that don't rush the story or add huge action sequences, but just better explain her.