A Hindu woman teacher was shot dead on Tuesday by terrorists in Jammu and Kashmir's Kulgam district, following which Kashmiri Pandits, employed under the PM package, threatened to undertake mass migration from the valley if they were not relocated to safe places within the next 24 hours.

The killing of Rajni Bala (36), who belonged to Jammu's Samba district but was posted at a government school in Gopalpora, Kulgam, is the second killing of a non-Muslim government employee in May and the seventh targeted killing in Kashmir this month.

Police officials said Bala was injured in the attack and taken to a nearby district hospital where she was declared dead.

Earlier, officials had said she was a migrant Kashmiri Pandit.

An official said the area was cordoned off and a manhunt launched to track down the assailants.

"Those involved in this gruesome terror crime will be soon identified and neutralised," a police spokesperson said.

The woman's killing evoked widespread condemnation in the Valley.

"Very sad. This is yet another targeted killing in a long list of recent attacks directed at unarmed civilians. Words of condemnation & condolence ring hollow as do the assurances of the government that they will not rest till situation normalises. May the deceased rest in peace," National Conference vice-president Omar Abdullah tweeted.

"Rajni was from Samba District of Jammu province. A government teacher working in Kulgam area of South Kashmir, she lost her life in a despicable targeted attack. My heart goes out to her husband Raj Kumar & the rest of her family. Another home irreparably damaged by violence," he added.

PDP president Mehbooba Mufti said despite the Centre's claims of normalcy in Kashmir, targeted killings were on the rise.

"Despite GOIs fake claims about Kashmir being normal its obvious that targeted civilian killings are on the rise & a deep cause of concern (sic). Condemn this act of cowardice which sadly plays into the vicious anti Muslim narrative spun by BJP," she tweeted.

Sajad Lone also condemned the killing, saying cowardice has yet again plummeted to shameless depths.

"A teacher, an innocent woman hailing from Samba, has been shot dead in Kulgam. May her soul rest in peace," he said.

BJP spokesman Altaf Thakur said he strongly condemned the attack. "Yet another dastardly act of terrorism in Kulgam. Attacking unarmed civilians, that too women, is no bravery but an act of frustration," he added.

This is second killing of a non-Muslim government employee in the month of May. On May 12, Rahul Bhat, a clerk, was shot dead inside the tehsildar's office in Chadoora tehsil of Budgam district.

Of the seven targeted killings that took place in Kashmir this month, three victims were off-duty policemen and four were civilians.

Meanwhile, Kashmiri Pandits, employed under the prime minister's package, have threatened to undertake mass migration from the valley if the government did not relocate them to safe places within the next 24 hours as employees from the community hit the streets at various places to protest against the teacher's killing.

"We have decided that if the government did not take any concrete steps for us (safety) within 24 hours, there will be mass migration again," one of the protesters said here.

He said the target killing of Kashmiri Pandits is continuing and the community is now tired of making appeals to the government.

"We are asking for temporary relocation for two to three years till the situation in the valley returns to normal," he added.

Some Kashmiri Pandit employees assembled at the Ghanta Ghar (Clock tower) at Lal Chowk here to protest against the killing while another group gathered at Batwara in Sonawar area of the city and raised slogans against the Union Territory administration, officials said.

"In south Kashmir's Qazigund town, Kashmiri Pandit employees blocked one of the tubes of the Jammu-Srinagar National Highway," they said.

Twitter/Aditya Raj Kaul

"Rajni was from Samba District of Jammu province. A government teacher working in Kulgam area of South Kashmir, she lost her life in a despicable targeted attack. My heart goes out to her husband Raj Kumar & the rest of her family. Another home irreparably damaged by violence," he said.

"This is yet another targeted killing in a long list of recent attacks directed at unarmed civilians. Words of condemnation & condolence ring hollow as do the assurances of the government that they will not rest till situation normalises. May the deceased rest in peace," Abdullah added.

This is the second killing of a Kashmiri Pandit in the month of May. On May 12, Rahul Bhat was shot dead inside the tehsildar's office in Chadoora tehsil of Budgam district.

It is also the seventh targeted killing in Kashmir this month. While three of the victims were off-duty policeman, four were civilians.