That's very interesting, because (anecdotally) the women I know prefer male bosses. The reason being that in their experience male bosses prefer to manage by objectives ("I want you to do X") whereas female bosses try to manage their subordinates emotions ("I want you to feel Y"). The latter seems to lead to greater workplace tension.

If this is indeed a broader phenomenon, I makes me wonder if the same forces (genetic or environmental) that lead women to be more empathetic (which we might judge to be a good thing) do not also lead to the aforementioned emotions management. Of course, this is all highly speculative.