4:30 PM PT -- Remy has officially bailed out ... but she didn't have much to say to our camera.

3:41 PM PT -- Remy just saw the judge -- and her bail was set at $1,500 -- she's expected to post that shortly. Remy's attorney, Dawn Florio, claimed all of the accusations made by Taylor are a lie. For instance, Taylor allegedly claimed the attack happened at 9:30 PM and Florio says there's video proof Remy Ma was at home at that time.

Florio also argued it was suspicious Taylor lawyered up with a civil attorney immediately after the attack.

The judge also ordered a protective order, meaning Remy is not to have any contact with Taylor ... Remy will also have an 8 PM curfew.

It took a couple weeks, but Remy Ma is in police custody for allegedly punching Brittney Taylor at a concert last month.

Law enforcement sources tell TMZ ... the rapper surrendered to cops Wednesday, flanked by her attorney. We're told she's been booked for misdemeanor assault.

As we reported ... the "Love & Hip Hop New York" star claimed Remy punched her in the right eye while backstage during the Pretty Lou Benefit Concert at Irving Plaza near Union Square on April 16.

While police were investigating the incident, Taylor geared up to file a civil suit against Remy by requesting cops preserve all evidence of the alleged assault, including surveillance footage.

Taylor's attorney, Sanford Rubenstein, tells TMZ that this is real life, not reality TV, and that Brittney is a victim. He stresses that Brittney "has confidence in our system of justice and will continue to fully cooperate with the authorities."