The woman has on previous occasions tried to bring a similar application without success.
The trial was delayed, apparently because the court was awaiting the arrival of an Afrikaans interpreter.
Several members of both legal teams were seen leaving the courtroom.
Pistorius, 27, is charged with murdering his girlfriend Reeva Steenkamp at his home in Pretoria on Valentine’s Day last year and contravening the Firearms Control Act.
He has said he thought she was an intruder when he shot her through a closed toilet door.
The proceedings in the wood-panelled courtroom will be broadcast live on television and radio, with the initial indictment listing 107 witnesses to testify for the State.