Nazanin Zaghari-Ratcliffe, the British-Iranian woman jailed in Iran, has not been taken to court to face new charges as expected, her husband has said.
Iranian state media had said she would be required to face fresh charges four years after her initial conviction.
Kate Allen, director of Amnesty International UK, said: "Nazanin has already been unjustly convicted once after a deeply unfair trial.
"It is a nonsense that she should ever have even faced a second court date."
She added: "It appears the Iranian authorities are playing cruel political games with Nazanin. The situation has gone on long enough. Nazanin has continued to suffer in Iran away from her husband and young daughter.
"The UK government has had four and a half years to secure her unconditional release and have failed to do so. Securing Nazanin's release should be an absolute priority.
"As a matter of urgency, ministers now need to step up their efforts to get Nazanin home in time for Christmas and provide a clear plan on how they will do this."
Mrs Zaghari-Ratcliffe was arrested in Tehran in April 2016. She had been visiting her parents with her young British-born daughter, Gabriella, who is now six.
The dual national was sentenced to five years in prison over allegations of plotting against the Iranian government, which she denies, and no official charges have ever been made public.
Gabriella has now returned to the UK.
Earlier this year, Mrs Zaghari-Ratcliffe was given temporary leave from prison because of the coronavirus outbreak and has been living at her parents' house in Tehran with an ankle tag.
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The BBC's Caroline Hawley said Mrs Zaghari-Ratcliffe had been "terrified" about Sunday's expected court appearance and had suffered the latest in a series of panic attacks.
The new charge has not been publicly disclosed, but her husband Richard Ratcliffe said it was an allegation of "spreading propaganda against the regime".
"Her lawyer got to look at the file," he told the BBC last week. "It looks like the file is really a rehash of what she got convicted of first time round."
He believes his wife and other dual nationals are being held hostage because Iran wants the UK to pay a decades-old debt over an arms deal that was never fulfilled.
The UK owes Iran about £400m for Chieftain tanks ordered by the former Shah of Iran but were never delivered because of the 1979 Islamic revolution.
The UK government says it will repay the money, but it cannot do so until a legal path is found because of international sanctions against Iran that currently make payment impossible.