Palmer's new song, co-written and performed with Jasmine Power, imagines a sexual assault perpetrated by a powerful man in a hotel room, a clear allusion to allegations that Weinstein forced himself on women in hotels. Neither victims were named.
In a statement, The Women's March said they hope the courage of the women who came forward will "continue to inspire others to break their silence".
Once one of the most powerful men in the film industry, Weinstein had always been rumored to have engaged in sexual misconduct - but it was not until reports in The New York Times and The New Yorker surfaced decades' worth of sexual assault and harassment allegations that the producer experienced his precipitate fall from grace last autumn.
The New York charges mark the second high-profile prosecution of a once-powerful show business personality in the #MeToo era.
Weinstein has denied any wrongdoing, and his lawyer indicated Friday that the movie mogul is pleading not guilty to the charges. Here's what attorney Gloria Allred, who represents several of Weinstein's victims, had to say in a statement. "Mr Weinstein did not invent the casting couch in Hollywood".
He arrived at the police station in lower Manhattan at 07:30 (12:30 BST) on Friday, carrying three books.
The books he was holding appeared to be: Something Wonderful: Rodgers and Hammerstein's Broadway Revolution, by Todd S. Purdum (2018), Elia Kazan: A biography (2005), by Richard Schickel, and a notebook. As he left his vehicle and entered a throng of flashing camera lights, the former movie mogul clutched three books under his arm, like a shield.
Weinstein, 66, was formally charged with rape, criminal sex acts, sex abuse and sexual misconduct. He consented to electric monitoring and is banned from traveling outside of NY or CT.
"They couldn't get a conviction", he said.
Nor is it clear that employers have improved sexual harassment policies in their offices, or that police departments have made changes in how they handle sexual assault and harassment cases.
"This wasn't a smile to say, 'Be on my side, ' or 'Hey, I'm innocent.' It was weird and suggestive that he may feel he is going to get away with this or that I've gotten away with this for this long", she explains.
The accusations, first reported by the New York Times and the New Yorker a year ago, gave rise to the #MeToo movement in which hundreds of women have publicly accused powerful men in business, government and entertainment of misconduct. He denies having non-consensual sex and has reportedly been in treatment for sex addiction. His fashion designer wife, Georgina Chapman, has left him.
But for all the media circus, experts warn that any trial - let alone a criminal conviction - would still be a long way off.More news: 40 feared drowned as boat capsizes in Godavari River in Andhra Pradesh