Like in her three previous attempts, Cline's request to have Hudson disqualified from presiding over a hearing was denied.
Cline wanted Hudson removed from a case involving accusations by a Texas man who claims his stepfather molested him 30 years ago in Durham.
A judge ruled Friday that Cline did not show evidence proving Hudson was biased in the case.
Cline maintains that Hudson abused his power as a judge and is biased against her.
Hudson denies any wrongdoing.