The shooting happened around 6:40 p.m. in the 8000 block of South Princeton Avenue in West Chatham, Chicago police said.
The victim, a 47-year-old woman, was shot in the head after a bullet came through the front window of her home, police said. She was taken to a hospital in critical condition.
No further information about the circumstances surrounding the shooting was immediately available.
Chicgao police continue to investigate. No arrests have been made.