In 1 Timothy 2:13-14 Paul gives two reasons why women are not to lead.
The first, is that Adam was created before Eve, thus in God's arrangement and order of things man was to occupy the first place. The second, is that Eve disqualified herself from leadership by being deceived, whereas had the devil tried to tempt Adam he would not have succeeded.
Eve was deceived and Adam willfully sinned. Yet even though willful sin is apparently worse than deception, in church leadership deception is worse than willful sin.
It is better to know when one sins and recognize the deception of the devil than to not know when one sins and not be able to recognize the deception or put up a fight. This is why Adam was preferred for leadership than Eve.
Barne's notes on the bible says:
It is, that in the most important situation in which she was ever placed she had shown that she was not qualified to take the lead.
She had evinced a readiness to yield to temptation; a feebleness of resistance; a pliancy of character, which showed that she was not adapted to the situation of headship, and which made it proper that she should ever afterward occupy a subordinate situation. It is not meant here that Adam did not sin, nor even that he was not deceived by the tempter, but that the woman opposed a feebler resistance to the temptation than he would have done, and that the temptation as actually applied to her would have been ineffectual on him. To tempt and seduce him to fall, there were needed all the soft persuasions, the entreaties, and example of his wife.
The sin of Eve was to be deceived by the devil. The sin of Adam was to be persuaded by his wife and knowingly eat the fruit. He was gullible. Had the devil tried to tempt Adam it would not have worked, yet had Eve not persuaded Adam then Adam would not have sinned. Adam was neither deceived by the devil nor by his wife.
John Piper, seems to gives a good overview here, and I've basically been paraphrasing it:
http://www.desiringgod.org/interview...ders-affirm-it