Chief Gibson had served with the Kalama Police Department for six years and had previously served with the Greene County Sheriff's Office, Missouri, for 20 years. He is survived by his wife.
The suspect continued to shoot behind him as he was running from the scene.
The deputy was taken to Orlando Regional Medical Center, where he later died from his injuries.
Dozens of police vehicles descended on the area around the intersection of Pine Hills Road and North Lane, just south of Royal Oaks and Pineview apartments on a report of an officer-involved shooting.
The detective, whose name has not yet been released, was in critical condition after a head-on collision with a vehicle traveling the wrong way on Martin Luther King Boulevard about 2 p.m. Friday