Hmm, between that article and her wikipedia page, I'd have to say, she's kind of a badass for a woman. I'm thinking Ivanka might be influencing this pick. Fiorina's got mostly conservative views.
One thing to note; Bold text emphasis by me;
The Director of National Intelligence (DNI) is the United States government official – subject to the authority, direction, and control of the President – required by the Intelligence Reform and Terrorism Prevention Act of 2004 to: Serve as principal advisor to the President and his executive offices of the National Security Council, and the Homeland Security Council about intelligence matters related to national security; Serve as head of the sixteen-member United States Intelligence Community; and Direct and oversee the National Intelligence Program.
She doesn't like waste, doesn't take any shit, is generally conservative and would directly answer to Trump.
We've all heard the saying "Be the bigger man". Trump is truly showing on a regular basis that he IS the bigger man. With his company, Trump proves that anyone working for him, male or female are productive and does what he says, else. (You're Fired) As long as she's given explicit direction, I think she'd do fine.