Actually, she is not paying. It was female. I read online that you can find out by counting the segments on her abdomen. It is the difference of having 5 or 6 for females and 7 or 8 for males.
Really? The dots certainly seemed to be following me around as I moved around her. Although that could be the case whether she was seeing through them or not I suppose.
The dots aren't following you around :) They're called pseudopupils. You're seeing down the "tubes" (ommatidia) of the composite eyes (heavy oversimplification because I'm no scientist).