King, who was initially listed in critical condition, died shortly after midnight on Saturday.
Rohrer had been with the department for seven years and had moved to the court transport division in January.
Fielder faced trial twice for the alleged murder of a 22-year-old.
The shooting happened Friday as an unidentified inmate was being moved. Lyon County Undersheriff John Koelsch says inmate transfer situations carry an inherent danger.
The year before, Wyandotte County Sheriff's Deputy Scott Wood was shot at a convenience store but survived.
Authorities said the inmate may have taken one of the deputies' guns and shot both of them.
Authorities say the two deputies were transporting the inmate to a hearing in downtown Kansas City when the suspect somehow got ahold of a weapon.
Additional details were scarce as authorities continued their investigation and urged anyone with information to report it.
The inmate, whose name was not immediately released, shot Wyandotte county deputies Theresa King and Patrick Rohrer on Friday in a gated area behind the county courthouse. Bailiff said she was not sure whether the suspect was shot by one of the deputies or someone else who responded to the incident.
The officials declined to go into more specifics about how the shooting happened, though Bailiff said the deputies had "followed proper procedure". Kelli Bailiff said during a news conference at the University of Kansas Hospital. Video from the scene showed the courthouse surrounded by yellow police tape, several police vehicles parked in the street and numerous uniformed law enforcement officers walking the grounds. Investigators will be reviewing surveillance video, according to Kansas City Police Department spokesman Zac Blair. They are the third and fourth law enforcement officers from Kansas City, Kan., or Wyandotte County to be killed in the line of duty the past three years.
Local news outlets are reporting that the shooting occurred about 11:30 a.m. Friday.