Police say he was off-duty around 2:30 a.m. Sunday when he made a traffic stop near the intersection of Bragg Boulevard and Shaw Road.
Authorities say its unclear how he managed to make the woman stop, because he was driving his personal white Chevrolet Trailblazer, not his police cruiser with blue lights.
"He identified himself as a police officer and did have credentials on him saying he was who he said he was," Fayetteville Police Spokesman Dan Grubb said. "So, he did not lie about who he was. According to the investigation he presented his credentials when he pulled her over."
However, police say the female driver he pulled over has filed a complaint against him.
"The person had claimed that that he pulled her over and once they were in the car he made some type of advance that I'm still unsure about ... with her," Grubb said.
The 41-year-old federal officer works at the VA Hospital on Ramsey Street. Since the incident happened on Bragg Boulevard, it was five miles away from where Burden has jurisdiction.
Burden admitted to authorities the encounter happened, but what police are trying to figure out is what happened inside his car.
Police say Burden heard his name and the allegations against him on the news Monday morning and turned himself in to Spring Lake Police. They sent him to Fayetteville Police Headquarters where he was questioned for several hours and released.
Fayetteville police said the charge filed Tuesday was not filed by them - but by a magistrate - because it is a misdemeanor. Burden was not arrested, but issued a summons ordering him to appear in court in late June.