She did, however, grant Maxwell's legal team additional time to file another appeal by pushing back the deadline for the documents' release from Thursday to Monday.
Dozens of new documents related to Ghislaine Maxwell's dealings with Jeffrey Epstein have been publicly released, as the British socialite defends against criminal charges of aiding the late financier's sexual abuse of girls.
The deposition came from a now-settled lawsuit against Maxwell by Virginia Giuffre, who had accused Epstein of having kept her as a "sex slave" with Maxwell's assistance. The stakes are much higher now.
Jeffrey Epstein and Ghislaine Maxwell.
The in the court filings, Maxwell and her attorney portray Giuffre as unreliable, pointing to errors in certain information she provided.
Maxwell, the daughter of late newspaper baron Robert Maxwell, has pleaded not guilty to sex trafficking minors for Epstein, who she was intimately involved with in the 1990s.
Ms Giuffre claimed in the suit and other litigation that Ms Maxwell recruited her in 2000 to be a sexual servant to Epstein. "Evidence of that conduct will not be admissible in Ms. Maxwell's criminal trial, because it is irrelevant and highly prejudicial", Mueller wrote.
Both the prince and Richardson have denied the allegations against them.
Pending appeals by Maxwell, Preska had ordered the release of more than 80 documents in all, including flight logs from Epstein's private jets; and police reports from Palm Beach, Florida, where Epstein had a home.
Giuffre didn't believe that any of the girls allegedly sexually abused by Maxwell were "truly willing participants".
Responding to a Maxwell email a few days later, Epstein wrote: "You have done nothing wrong and I (would) urge you to start acting like it".
Ms Maxwell, 58, has pleaded not guilty to helping Mr Epstein recruit and eventually abuse three girls from 1994 to 1997, and committing perjury by denying her involvement under oath.
The emails show that Epstein also sent a statement for Maxwell created to help her distance herself from his crimes and accusations.
Earlier that month Maxwell had been named by Virginia Roberts Giuffre, one of Epstein's victims, as a "madam" for Epstein.
Epstein was found hanged in his cell in August previous year while awaiting trial for sex trafficking charges.
She was arrested on July 2, and has been housed in a Brooklyn jail after a judge called her a flight risk.
The documents released Thursday night have been under seal for years, but Judge Loretta Preska last week ruled that a batch of documents from the case, including a deposition of Maxwell and correspondence between Maxwell and Epstein, could be released.
The deposition is scheduled for release on Aug 3, unless the appeals court orders a delay or further arguments.