Good article here about it,
Are Women Allowed to Be President?
"It’s a question that’s rarely asked and on its face seems ridiculous: Are women allowed to become president of the United States? But nearly a century after women gained the constitutional right to vote, many Americans would be surprised to find the answer isn’t simple.
That’s because Article II of the Constitution, which lays out the qualifications and duties of the president, uses the word “he” 16 times to describe the holder of that office.
...
Discussion of the Constitution's use of “he” to describe the president likely will remain academic. The last time Hillary Clinton ran for president, losing to Barack Obama in the 2008 Democratic primary, an 80-year-old Nevada man sued to keep her off the ballot.
That case, filed in state court, was dismissed.
John Banzhaf, a professor at the George Washington University Law School, says anyone challenging in court the constitutionality of a female president would fail.
He points out there wasn't a lawsuit to boot Sarah Palin from the GOP ticket in 2008 or Geraldine Ferraro from the Democratic vice presidential spot in 1984."
Related question occurs, if slaves were 3/5ths a free man, where does blacks as President appear? Can you really imagine the Founders accepting a black President, or a female one?