Nikki Haley has a great shot at being the first female POTUS just by virtue of being so young.
Imagine this possible timeline (which would be largely analogous to Hillary Clinton's career):
1) Haley serves as UN Ambassador until 2020 when she resigns to run for the Senate seat being vacated by Lindsey Graham
2) With the support of Trump, Haley wins election to the Senate while Donald Trump loses a close reelection campaign to Cory Booker
3) After two terms of Booker, Haley runs for President in 2028 but is defeated in a protracted primary battle against a young, charismatic Republican governor
4) Said Republican governor is elected President in 2028 in a near-landslide. He names Nikki Haley as Secretary of State based on her previous experience as UN Ambassador and on the Senate Foreign Relations Committee
5) Resigning as Secretary of State in 2033, Haley begins her 2036 presidential campaign as a heavy favorite due to her status as party stalwart. She wins the Republican nomination somewhat handily then goes on defeat a Democratic challenger in a somewhat close election.
Nimrata "Nikki" Haley makes history as first female president when she is elected as the 48th President in 2036.
She is inaugurated at the age of only 65!!!