The legal spat follows news that a bombshell cache of previously sealed documents in a civil case against Maxwell are set to be turned over to the public this week - and are reportedly set to expose the details of her allegedly sordid sex life.
One inmate at the jail said that, shortly before Maxwell's arrival, the women were told to clean the usually-abandoned second floor.
The inmate added that Maxwell is being given three hours of recreation time per day, compared to their two hours, and is allowed the yard to herself - with other women locked inside while she is outside.
Annie Farmer, who has alleged that as a teenager she was assaulted by Epstein at his ranch in New Mexico after Maxwell encouraged her to give her host a massage, begged to differ.
Ghislaine Maxwell ambushed prosecutors by asking for a gag order on witnesses in her criminal trial, court documents seen by DailyMail.com claim.
The files come from a 2015 defamation lawsuit by Virginia Roberts, who accused Maxwell of lying and sexually abusing her as a teenager and pimping her out to rich and powerful men including the Queen's son Prince Andrew.
The extra precautions come after Epstein was found dead inside his Manhattan jail cell in August past year while awaiting trial for sex crimes.
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US District Judge Loretta Preska verbally unsealed the documents in a ruling held via teleconference.
Attorneys for the British socialite, who faces six counts of sex trafficking involving minors, wrote a letter to the court Monday urging the judge to stop the victims or their attorneys from releasing any information to the internet or elsewhere, including "nude, partially nude, or otherwise sexualized images, videos, or other depictions of individuals".
Giuffre has alleged that she was forced into sexual encounters with the prince while she was underage.
The prince has vehemently denied any wrongdoing.
His former Manhattan townhouse and his Palm Beach home have been listed for $88 million (£69 million) and $22 million (£15 million) respectively, according to the Wall Street Journal.
Judge Nathan had already slapped down a request from Maxwell's lawyers to bar prosecutors from speaking to the media about the case.
'She had an album full of photographs of people, young girls, ' he said in the 2016 deposition. Like a hobby. It was some girls were topless [sic], taking the sun'. It's believed the papers will also include emails and communications between Maxwell and Epstein from 2015, sent following Virginia Giuffre's accusations.