Her team had put in a request for a new trial after it was revealed a juror had an undisclosed history of childhood sexual abuse
Juror 50 is said to be invoking their constitutional right against self-incrimination.
Brunel, 75, a French former modelling agent, was found dead in prison on Saturday, February 19, in an apparent suicide.
The Duke of York will face a deposition in the case brought against him by Virginia Giuffre.
Prince Andrew has responded to allegations of sexual offences made against him by Virginia Roberts Guiffre, issuing 41 denials.
The filing comes after Maxwell was found guilty of sex trafficking last month.