The shocking move came after the EU imposed sanctions against 11 Venezuelan officials. “Who are they to try to impose themselves with threats?” said Mr Maduro.
“We will sort it out in 72 hours… she will be given a plane to leave, but we will arrange our things with the European Union.”
The coronavirus pandemic forced the country to halt commercial flights as its airspace closed.
Tensions between the bloc and Venezuela began in 2017, when Venezuela because the first Latin American country the EU imposed sanctions on.
One of the penalties from the bloc was an arms embargo.
Monday’s sanctions affected Luis Parra, who Mr Maduro has shown his support in the leadership contest of the opposition controlled National Assembly against its president, Juan Guaido.
Also sanctioned by the EU were Juan Jose Mendoza, president of the Supreme Court’s constitutional chamber, and General Jose Ornelas, head of the National Defense Council.
The bloc said the 11 officials “are particularly responsible for acting against the National Assembly’s democratic functioning, including stripping parliamentary immunity from several of its members.”
“[They have] also initiated politically-motivated prosecutions and created obstacles to a political and democratic solution to the crisis in Venezuela.”
Mr Guaido relied on his post as head of parliament to object Mr Maduro’s authority in January 2019.
He proclaimed himself acting president after the National Assembly ruled the socialist leader was a despot due to his questionable re-election in 2018 in a poll widely regarded as forged.
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Earlier this month Mr Maduro and Mr Guaido joined forces to raise funds for the fight against the coronavirus.
A one-page agreement was signed on June 1 between Health Minister Carlos Alvarado, Dr Julio Castro, who leads the National Assembly’s commission on the coronavirus, and the Pan American Health Organization (PAHO), according to Information Minister Jorge Rodriguez.
Both sides will collect funds to cover a various necessities including improving testing and purchasing more protective equipment.
Other responses included setting up public health messaging campaigns, Mr Rodriguez added.
“COVID-19 does not respect or discriminate against gender, orientation or political party,” Mr Rodriguez said on state television.
“So this is good news, a good start, so that we can deepen our work together to combat COVID-19.”