Tehran police had said that the woman had violated the dress code.
Protests over the death of a young woman while in custody of Iran's "morality police" has entered its fifth day and spread across countries.
Public anger has grown since authorities on Friday announced the death of Mahsa Amini, 22, in a hospital after three days in a coma, following her arrest by Tehran's morality police during a visit to the capital on September 13.
Iranian demonstrators in Tehran
The morality police units enforce a dress code in the Islamic republic that demands women wear headscarves in public.
Nasibe Samsaei, an Iranian woman living in Turkey, cuts her ponytail
The police also bans tight trousers, ripped jeans, clothes that expose the knees and brightly coloured outfits.
People protest outside the UN in New York
Tehran police chief General Hossein Rahimi had said that the woman had violated the dress code, and that his colleagues had asked her relatives to bring her "decent clothes".
Iranian woman in Turkey burns a headscarf
A spokesperson for the European Union's foreign policy chief Josep Borrell had said that Ms Amini's "unacceptable" death was a "killing" following the injuries she suffered in police custody.
Kurdish and Lebanese women take part in a rally in the downtown district of the capital Beirut
On social media, a number of videos from the protests that show demonstrators shouting anti-government slogans have gone viral. In some videos, Iranian forces are seen using tear gas to disperse the demonstrators.
Ukrainian member of parliament Kira Rudik addresses a protest against Iranian President Ebrahim Raisi in New York
Police have rejected social media suspicions that she was beaten, saying she fell ill as she waited with other detained women.
People step on a poster of Iranian President Ebrahim Raisi as they participate in a protest outside of the United Nations
People protest outside the Iranian consulate in Istanbul
Amini was from Kurdistan, where there were also protests on Saturday, including at the funeral in her hometown Saqez.
(With inputs from Reuters and AFP)