Dylan Farrow will appear on television to discuss her sexual assault allegation against her adoptive father Woody Allen – which he rejects as “untrue and disgraceful” – as a growing number of stars distance themselves from the director.

The interview, which airs on CBS on Thursday and is Farrow’s first on television according to the US broadcaster, comes after she used a newspaper article to question why Allen had been spared by the “revolution” that ended studio mogul Harvey Weinstein.

“I am credible, and I am telling the truth, and I think it’s important that people realise that one victim, one accuser, matters. And that they are enough to change things,” Farrow said in an extract released on Wednesday.

In her first television interview, Dylan Farrow talks with @CBSThisMorning co-host @GayleKing about her allegations of childhood sexual abuse by her father, Woody Allenhttps://t.co/EJ1VNIAKMu pic.twitter.com/IXKZF3voyy — CBS News PR (@CBSNewsPress) January 16, 2018

The film-maker, 82, faces renewed questions over his alleged behaviour as he prepares for the release of his latest film in a Hollywood that is coming to grips with its history of sexual harassment and abuse. Allen, who has always denied the allegation, was investigated over the claim he molested Farrow in an attic in 1992 when she was seven, but he was not charged.

The revival of the allegations against Allen has prompted several actors to apologise for appearing in films made by the director. Timothée Chalamet said on Tuesday that he did not want to profit from his role in A Rainy Day In New York and would instead donate his salary to three charities combating abuse and harassment, including Time’s Up. Rebecca Hall previously apologised for her role in the film and said she would also donate her earnings to the celebrity-backed initiative.

Others to distance themselves from Allen in recent weeks include To Rome With Love’s Greta Gerwig, Wonder Wheel’s David Krumholtz and Mira Sorvino, who won an Oscar for her role in 1995’s Mighty Aphrodite and has vowed to never work with him again.

However, Alec Baldwin, who worked with Allen on three occasions, expressed his support for the director on Tuesday, noting that the director has been the subject of a criminal investigation which had produced no charges against him, and saying his rejection was “unfair and sad”.

Woody Allen and Mia Farrow in 1988 with their children Dylan, left, and Ronan. Photograph: Photoreporters Inc/Rex

Farrow is the sister of journalist Ronan Farrow, whose reports aided Weinstein’s downfall. Last month she questioned in an article for the Los Angeles Times why the ensuing “revolution” had spared Allen.

“Why is it that Harvey Weinstein and other accused celebrities have been cast out by Hollywood, while Allen recently secured a multimillion-dollar distribution deal with Amazon,” she wrote.

Dylan Farrow’s claims have been supported by mother Mia Farrow and brother Ronan, who argued in a 2016 Hollywood Reporter column that a media “culture of acquiescence” had built around the director. However, Allen has been defended by another of his adopted children, Moses Farrow, who claims that Dylan Farrow’s allegations are false and that she might be “trying to please her mother”.