At one level, Mr. Trump’s statement is simply wrong. Ms. Machado, who was awarded the Nobel Peace Prize in 2025 for her fight to restore democracy, is, by far, the country’s most popular politician. In 2024 she led an electrifying campaign against Mr. Maduro. (She was barred from running.) When electoral authorities declared Mr. Maduro the winner, she announced that tally sheets collected by opposition activists from more than 83 percent of polling stations showed that her candidate, Edmundo González, had won decisively.