The couple eloped in March, but returned to the village after the man's family were allegedly tortured by police. The village council ruled that the Dalit family should be dishonoured to "avenge" the brother's supposed crime.
Meenakshi and her sister ran away to the capital after the ruling was handed out and were able to submit their petition for protection for their family at the Supreme Court. However, they would still face the punishment should they return home.
Khap panchayats are the archaic systems of village justice that exist in much of rural India. They are dominated by the Jat caste and are almost always run by male village elders. The "courts" often order honour killings and sexual "punishments" and are frequently allowed to operate completely outside the Indian legal system, despite the Supreme Court labelling them "kangaroo courts".
Amnesty International has set up a petition against the punishment, stating: "Nothing could justify this abhorrent punishment."
The gang rape of a student in Delhi in December 2012 horrified the country and led to the Government vowing reform of the penal code.
However, last December, the girl's father said the promises of legal reform had not been met. A BBC documentary, India's Daughter, broadcast in March, proved controversial for its portrayal of how widespread rape is in India.