The Scottish government will issue "timely guidance" on the issue of single-sex spaces following the Supreme Court gender ruling, John Swinney has said.

The first minister said new sex-based rights guidance is being developed after the Supreme Court ruled that biological sex defines a woman for the purposes of the Equality Act.

But a meeting between Scottish ministers and the Equalities and Human Rights Commission to discuss concerns about the provision of single-sex spaces by health boards has postponed.

Scottish Tory leader Russell Findlay urged the first minister to "end the era of divisive gender politics" in the wake of the landmark court ruling.

The UK's highest court last week ruled the definition of a woman in the 2010 Equality Act is based on biology in a move that will have major implications for single-sex spaces and services such as public toilets and changing rooms.

At First Minister's Questions, Swinney was pressed on what the Scottish government is doing about last week's ruling – it had previously argued in court that transgender people with a GRC are entitled to the same sex-based protections as biological women.

The first minister said: "We are considering the details of the Supreme Court judgment, taking the necessary advice from the Equalities and Human Rights Commission about the application of that advice, and that will have a bearing on the judgments that are made in relation to public services and I would expect… all public bodies to operate on that basis and within the law."

A meeting between Scottish ministers and the Equalities and Human Rights Commission (EHRC) – the body tasked with providing guidance on how equalities law in enacted in practice – scheduled for later has been postponed.

This is because the commission does not want to meet Scottish ministers before they have met UK government ministers.

However the EHRC urged bodies to act on the Supreme Court, ruling rather than wait for them to produce revised code of practice.

Protests were held at the weekend by pro-trans campaigners, with Swinney saying he understood why the trans community would feel "uncertain and anxious" over the court ruling.

Reflecting on the ruling, Russell Findlay said: "Common sense and a basic respect for biological truth, have now prevailed thanks to the incredible Scottish women who would not wheesht.

"Will John Swinney finally apologise to the women of Scotland?"

Swinney replied: "The Scottish government accepts the judgement of the Supreme Court."

Later in the exchanges, former Conservative leader Douglas Ross asked Swinney to answer a "straightforward" question: "Does he believe that trans women are women?"

The first minister replied that the Scottish government "accepts the judgement of the Supreme Court that a woman in the Equality Act 2010 is defined by biological sex".