The woman, 24, says Brown along with his bodyguard and a friend assaulted her in the luxury Mandarin Oriental hotel on the night of January 15.
Brown and his associates were released without charge in January after being held for questioning after the allegations of aggravated rape and a drug offence.
But the woman has stood by the accusations and police summoned Brown to a “confrontation” with his accuser.
Gloria Allred, the high-profile American women's rights lawyer representing the accuser, said that Brown's failure to show up was a “scandal”.
Gloria Allred, the high-profile American women's rights lawyer representing Chris Brown's accuser. Photo: AFP
“Why did he fail to come today? Does he think that he is above the law in France? Does he think that the French criminal justice system is a joke?” she told reporters outside the court.
The woman, who has not been identified by name, told police she met Brown in a nightclub near the Champs-Elysees avenue with a group of other party-goers.
She then agreed to go back to the hotel, which is on the glitzy Rue du Faubourg Saint-Honore.
Lawyers for the Grammy Award-winning singer have said he is innocent and they are considering a libel lawsuit.
Allred has taken on a string of high-profile cases representing women, including some who claim they were abused by R&B star R. Kelly.
She has also represented a woman who alleged she was sexually assaulted at Brown's home during a drug- and alcohol-fuelled party in 2017.
“Did he learn that I was coming to Paris to support my client?” Allred said outside the court. “Was he afraid of me? And is that the reason that he chose not to show up?”
The singer, who according to Billboard has sold more than 100 million records, has been in the news more for his legal troubles than hit releases in recent years.
In 2009 he was convicted of beating fellow singer Rihanna, his girlfriend at the time, who missed the Grammy Awards because of her injuries.
Contacted by AFP, Brown's French lawyer Raphael Chiche was not immediately available for comment.