Maxwell says she is not a flight risk, despite media that have "ruthlessly vilified her and prejudged her guilt" in more articles than the comedian Bill Cosby and movie producer Harvey Weinstein got after their arrests.
Maxwell's appeal will be heard on an expedited basis, with oral argument scheduled for September 22.
Jeffrey Epstein's longtime associate who is charged with luring young girls so the late financier could sexually abuse them, pleaded not guilty in federal court in Manhattan, with a judge still to decide on whether to grant bail.
American Virginia Giuffre has alleged Jeffrey Epstein — who was found dead in a US prison in August — trafficked her to Britain when she was 17 to have sex with Britain's Prince Andrew.
Britain's Prince Andrew told the BBC that he had no recollection of ever meeting an American woman who alleges she was forced to have sex with him when she was underage.
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