It is a new legal battle that could derail her bid for the presidency in 2028.
Lawyer Paul Lim told a crowd of reporters and Duterte's supporters outside court on Friday the defence had filed a motion to postpone the arraignment, which the court granted.
In a text message to Reuters, Lim said Duterte had not entered a plea in the case.
"Arraignment deferred pending resolution of our motion," he said.
Duterte had posted bail on Saturday after a court had ordered her arrest over the charges.
The case against Duterte, an ally and running mate of Marcos before the two had a bitter fallout, stems from her remarks at an online press conference in 2024, when she said she had told an assassin to kill the president, his wife, and his cousin, former speaker Martin Romualdez, in the event she herself were killed.
Duterte, the 48-year-old daughter of mercurial former President Rodrigo Duterte, has denied making the threats and said her remarks were taken out of context.
She faces up to six months in prison if convicted.
The allegations of grave threats are also part of an impeachment complaint against Duterte, who is currently on trial at the Senate, which is sitting as an impeachment court with its members as jurors.