President Donald Trump and U.S. Ambassador to Greece Kimberly Guilfoyle, right, during a Greek Independence Day Celebration in the East Room of the White House in Washington, on March 26, 2026. Trump cut Guilfoyle loose after damaging news reports about her. Once a prominent Trump insider, she suggested she will now fight to defend her reputation. (Doug Mills/The New York Times) By ELISABETH BUMILLER It started out so well for her. Kimberly Guilfoyle, the U.S. ambassador to Greece until she…