The incident had taken place in Mbotsha Ward, Boboyi near Port Shepstone in KZN on Sunday morning, according to South Coast Herald.
The third person involved, an elderly woman, sustained a gunshot wound to the upper arm during the quarrel.
Police said the constable, in her early 30s, had handed herself over to the Port Shepstone police shortly after the incident. She was taken to hospital for medical attention for injuries allegedly sustained during the argument.
Investigations are on-going.
This incident follows a police constable allegedly shooting dead his 33-year-old wife at their home in Uitenhage, Eastern Cape last week.
The wife was a police sergeant at the Uitenhage police station, while the man was stationed elsewhere, according to the SA Press Association.
Preliminary investigations had indicated that the man had shot himself after shooting his wife. Both died at the scene.
A study by the Crime Information Analysis Centre (CIAC) had found that Gauteng had the highest incidents of officers being murdered, followed by KwaZulu-Natal.
Another study entitled Stresses in the South African Police Service concluded that police as a whole needed to become more sensitised to the consistent psychological needs of members.
This as “police have to work with one of the highest levels of violent crime in the world, while receiving almost no positive regard from the communities they attempting to service, and often very little from police management itself”.