Virginia Giuffre has filed a civil case against the Duke of York over alleged sexual abuse.
A news report of additional British allegations against the couple calls into question Metropolitan Police Service's past failure to launch a criminal probe.
The One-Time Girlfriend Of Jeffrey Epstein has failed three times to be granted bail despite offering a $28.5 million package.
Prosecutors allege that Maxwell and Jeffrey Epstein conspired to sexually abuse girls between 1994 and 2004.
U.S. District Judge Loretta Preska denied Maxwell's request, saying the passage only concerned massages and not private sexual activity of consenting adults.
The denials came in a July 2016 deposition that Maxwell, 59, gave in a long-settled civil defamation lawsuit against her by Virginia Giuffre.
U.S. District Judge Alison J. Nathan said incarceration is necessary to ensure Maxwell faces trial on charges she recruited teenage girls for the late financier to sexually abuse.
Maxwell is scheduled to face a July trial on charges that she recruited three teenage girls for Jeffrey Epstein to abuse in the mid-1990s.
The British socialite, a close friend of Jeffrey Epstein, has been accused of grooming young teens over many years for sex with powerful men.
The order allows the public release of transcripts of depositions of the British socialite that were taken in 2016.