Do you have first hand knowledge that justifies taking this position against her past?

If not I would suggest you do some research on her past and specifically at HP.
There are some executives who are not liked because they did what had to be done to turn a troubled business around. It usually involves the dismissal of many sometimes thousands of people to get the job done. The right thing to do? Absolutely no choice. Popular? It never is. DOing the right thing is never popular, but still gets negative play.

Why she left? Was asked to leave? Here again if you do not have first hand information you are not likely to find the real reason as it is cloaked in a board room envirnment and the news is in fact managed the way the company wants it to play. For all we know she was brought in as a hatchet person to do the job and then by prior agreement the leaving made to look as it played out to make the board look good. And for that she was paid 20 million dollars to leave.

And if all the above does not matter if she was a man, that is just a totally irresponsible position to take. To not vote for the right person because of a self serving prejudice is just stupid and a vote for the opposition.

Man up and do what Carly did....the right thing. You may get an A for honesty but an F for integrity.