The 57-year-old woman, Mom Kim Sein, said she was kept by the Khmer Rouge at S-24, where prisoners were tortured.
Cayley issued a public statement claiming judges Siegfried Blunk and You Bunleang should do more investigation into case 003.
Unlike Case 002, which saw more than 6,000 victim complainants, cases 003 and 004 so far only have 318.
Among those problems is that of forced deportation, a US policy that sends non-legal immigrants back to their presumed home countries.
Tribunal spokesman Lars Olsen said the Pre-Trial Chamber was under no time limit to consider Cayley’s appeal.
For Nou Leakhena, however, the court is just one way to heal what she says is widespread post-traumatic stress from the regime.
Khmer Rouge victims and tribunal monitors have expressed concern over the amount of participation allowed to so-called civil parties.
Tribunal observers fear the court is trying to dismiss those cases in the face of stringent government opposition.
In a statement Thursday, the judges, Siefried Blunk and You Bunleang, called that analysis “baseless” and “nonsensical.”
Government spokesman Phay Siphan dismissed allegations of political influence in the courts in the decision of judges.
Andrew Cayley said a retracting of his statements before a ruling by the Pre-Trial Chamber would be “absolutely meaningless.”
Established in 1984, the holiday acts as a reminder of the crimes of the Khmer Rouge.