Prosecutors pushed for bail, but the presiding judge ruled he didn't determine Cardi to be a flight risk.
She was released without having to post bail but the judge issued orders of protection against her, meaning she was warned not to have any contact with the two female club employees injured in the melee, including no threats or comments on social media.
"I want you to convey to her that it's not acceptable that she's not here today", Dunn told lawyer Jeff Kern of his 26-year-old client.
She was charged with two misdemeanor counts of reckless endangerment and one misdemeanor count of assault.
The rapper also revealed a picture of their five-month-old daughter Kulture, which was eagerly anticipated by her fans.
On Friday, the singer waited more than half an hour in the basement arraignment courtroom, seated in the public gallery while six other defendants appeared before her.
U.S. media reports say she allegedly ordered an attack on two sisters working at the club because one of them slept with her husband, the rapper Offset. She announced this week that the couple had separated. She turned herself in to police in October.
The rapper found out about the nominations on Friday while walking out of a New York City courthouse outfitted in a fur-collared coat, a suede hat and large sunglasses, according to NBC News. She won't find out how many Grammys she'll take home until February 10, 2019.