One of the activists who took part in the protest, Ms Frost, has had several BBC roles over recent years – including an appearance on Casualty, according to her online curriculum vitae.

Richard Energy, who describes himself as a “drag king”, is scheduled to appear in an “all drag” production of Dick Whittington this Christmas, in London’s West End.

The other protester, Ms Stars, is the writer of the play Death Drop, the “drag murder mystery”. It concluded a brief run at the King’s Theatre in Edinburgh on Saturday, the day after they staged a protest at Ms Rowling’s home.

The three placards read “trans liberation now”, “don’t be a cissy” and “trans rights are human rights”.

Stars, who also runs a cabaret night in Soho, complained earlier this month that she had been subjected to death threats while a student in her home town of Crewe.

She returned to the town this month in what she claimed was an attempt to “confront her past”. The stunt involved holding up a sign which said “f— the Tories” outside the office of Kieran Mullan, the local Conservative MP.

She was invited to speak to children at her former school, after claiming she had been bullied for “being queer” there.

Ms Rowling has strongly denied being transphobic. She was targeted by trans activists last year after she mocked an article which referred to “people who menstruate” rather than women.

‘Campaigns of intimidation’

She later said she had chosen to speak out on gender issues in part due to her own experience of domestic abuse and sexual assault, leaving her with particular concerns around “single-sex spaces”.

She said on Monday that she had been “appalled” at attacks on women, such as Joanna Cherry and Rosie Duffield, who are both MPs; Julie Bindel, the writer; and Kathleen Stock, the academic, who have expressed concerns about trans ideology.

They had been subjected to “campaigns of intimidation which range from being hounded on social media, the targeting of their employers, all the way up to doxxing and direct threats of violence, including rape”, Ms Rowling said.

Asked about the protests outside Ms Rowling’s home, the Prime Minister’s spokesman said: “I don’t think any individual should be targeted in that way.

“We believe that everyone has the right to be treated with dignity and respect and that people are able to share their views, as long as it is done in that fashion.”

A spokesman for Police Scotland said: “We are aware of this incident and police enquiries are ongoing.”