Firstly you're implying that psychology is entirely defined by physiology. Secondly, and because you're making the first mistake, you're assuming that the study says there can't be psychological sexual differences.
All this study shows is that the brains are pretty much the same physically. Now as someone who has seen the effect of hormones on friends going through a gender change, have seen girlfriends use hormones as birth control methods I can tell you that hormonal activity can have a huge impact on the way the hardware runs.
Consider for a moment that the hardware is the brain and the hormonal activity brought forth by the body is like the OS.
All this study shows is that the brains are pretty much the same physically. Now as someone who has seen the effect of hormones on friends going through a gender change, have seen girlfriends use hormones as birth control methods I can tell you that hormonal activity can have a huge impact on the way the hardware runs.
Consider for a moment that the hardware is the brain and the hormonal activity brought forth by the body is like the OS.