Nikki Haley defiantly refused to drop out of the race for the Republican presidential nomination after losing to Donald Trump in New Hampshire on Tuesday. Former UN Ambassador Nikki Haley lost her one-on-one primary with Donald Trump in New Hampshire on TuesdayYour browser does not support iframes. In the month before the primary, Haley was coming within a single-digit of Trump. A New Hampshire Republican primary poll released the Sunday before the primary election, Nikki Haley was shown 19% behind Donald Trump – Florida Gov. He has also made off the record stops in the first-in-the-nation primary state like at his campaign's headquarters.