SPO Khushboo Jan was attacked by militants at close range in the district's Vehil village.
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The injured officer was taken to a nearby hospital where she died.
"She suffered critical bullet injuries around 2.40 p.m. and was rushed to a hospital where she succumbed," the police said in a statement as quoted by CanIndia.
SPOs are employed by state police to combat terrorism in the state.
According to the police, the area was cordoned off and a hunt for the attackers has been launched.