The attack on Sunu Sathyan's home took place Friday, Indian External Affairs Minister Sushma Swaraj said in a tweet.Sathyan worked in a hospital in the town of Zawiya, Swaraj said, adding that she has asked the 26 other Indians working at the hospital to leave the area.
The Press Trust of India news agency said that Sathyan's husband, also a nurse, was at work when the attack took place.
It was not immediately clear who fired the rocket.
Libya's chaos, five years after the uprising that led to the ouster and killing of longtime autocrat Moammar Gadhafi, has left the country deeply divided and ruled by an internationally recognized government and parliament based in the east and a rival government and parliament in the capital, Tripoli, backed by Islamist-allied militias.
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