With stealthy out the window she tries for something else.  The direct approach isn't bad all the time.  She straightens out the rod she'd found and then waits for a moment.  Then she's in the room while the robot is trying to bat Jack away moving in front of it, waiting for that red eye to glow bright then tries to shove the rod right into that eye.  It worked in Independence Day.  Wait until the aliens charge up and then shove a bomb in.  So why shouldn't it work here? Other than the rod isn't a bomb and if she times it wrong she'll have to be dodging out of the way of a laser beam.  Not to mention the guy died in Independence Day.  Ugh, things she should have thought of BEFORE putting this plan into action.