A woman was fatally shot in the head inside a Hell’s Kitchen public housing development early Sunday, police said.

The victim was shot inside NYCHA’s Harborview Terrace complex on W. 55th St. near Tenth Ave. about 12:45 a.m., cops said.

Medics rushed her to Mount Sinai West but she could not be saved. Cops were working to determine her identity.

Police have made no arrests.

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