The collision happened at 12.30pm on Thursday 17th October.
An 80-year-old woman was in the car park of Kiveton Library in Wales Road, walking with a mobility aid, when she was in collision with a silver Volkswagen Golf driven by a 42-year-old man from Bramley.
At the time of the collision it was not thought that the pensioner had suffered serious injuries.
However, her condition has since deteriorated.
Richard Waller, clerk at Wales Parish Council, said: “The accident occurred at the mouth of the entrance to the car park.”
“The ladies son came into see us to make enquiries.”
“I knew she was badly injured at the time but I understood she was on the mend.”
“I don’t know a great deal more about it.”
Earlier this year Wales Parish Council launched a campaign to try and make Wales Road safer after a number of incidents.
According to police statistics, nine accidents have taken place on Wales Road since 2008, with six slight injuries and three serious injuries being reported.
Three school children have been injured this year, including a 15-year-old female who was run over on the zebra crossing in February.
In 2011, a vehicle hit a woman with a pushchair.
The council have been campaigning for a puffin crossing to be installed since March this year as they believe a puffin crossing, which utilises sensors that detect the presence of pedestrians crossing the road, would prevent further accidents.
This incident is not related to the council’s campaign for a puffin crossing but it is another incident which has occurred on Wales Road.
South Yorkshire Police are appealing for witnesses and anyone with information is asked to call the non emergency number 101, quoting incident number 994 of 2nd December 2013 or Crimestoppers anonymously on 0800 555 111.