Stockholm - The 71-year-old aid worker, Birgitta Almeby, who was shot in the chest in Lahore, died at the Karolinska Hospital in Stockholm late on Wednesday, Swedish media reported.
She was receiving treatment after having been flown to Sweden for specialist medical care for her injuries.
Speaking with the media, a representative from the Pentecostal church in Köping said Almeby's injuries had resulted in serious brain damage, leaving little hope that she would ever fully recover.
Almeby was attacked in Lahore last Monday.
"She was returning from her office and was attacked when she arrived in front of her home in the Model Town neighbourhood," Awais Malik, a senior police official told AFP.
She was working in Lahore for the US-founded Full Gospel Assemblies, which describes itself as a "church fellowship" with congregations all over the world.
Malik said on Monday that the culprits had not yet been identified.