While Venezuelan opposition supporters celebrated the U.S. military's removal of Nicolas Maduro to face drug trafficking charges in New York, the leaders of his administration remain in charge.

The nation's opposition – backed by consecutive Republican and Democratic administrations in the U.S. – for years vowed to immediately replace Maduro with one of their own and restore democracy to the oil-rich country. But U.S. President Donald Trump delivered them a heavy blow by allowing Maduro's vice president, Delcy Rodriguez, to assume control.

Meanwhile, most opposition leaders, including Nobel Peace Prize winner Maria Corina Machado, are in exile or prison.

"They were clearly unimpressed by the sort of ethereal magical realism of the opposition, about how if they just gave Maduro a push, it would just be this instant move toward democracy," David Smilde, a Tulane University professor who has studied Venezuela for three decades, said of the Trump administration.

The U.S. seized Maduro and first lady Cilia Flores in a military operation Saturday, removing them both from their home on a military base in Venezuela's capital, Caracas. Hours later, Trump said the U.S. would "run" Venezuela and expressed skepticism that Machado could ever be its leader.