Well, at first it only went clockwise for me. After staring at her feet for about five minutes, I got my first change to counter-clockwise. When I look at it for the first time (each time I try this), I see it rotating clockwise, but I can make it change. If I made the change to counter-clockwise just before looking away and back again, I still see her spinning counter-clockwise. Anyway, I can easily change direction to clockwise, but it's much harder the other way round.
EDIT:
GAH! Now she's turning counter-clockwise, and I can't make her change anymore. But then, when I first got here, I was on a site with lots of patterns and images which sparked my imagination and creativity (right brain function). When I came back (after posting), I used my (foreign!) language skills for typing (left brain function). I wonder if there is a connection?