The Senate may or may not have thoughts on that.
And how do you think it would look for the Senate to reject Cabinet appointees because they have some sort of problem with the President's intended gender balance?
Those in the Senate should not look at a candidate's gender. Neither should the President making the nomination. Was I not clear in saying what I said?
The President is going to be looking at candidates' gender either consciously or subconsciously, and, if it's conscious, is going to either admit or not admit to doing it. In this case, I would prefer that it be conscious and admitted.