The four accused were killed in "retaliatory" firing by police near Hyderabad on Friday morning when they were taken to the scene of crime as part of investigation.
Her family welcomed the news of the killings of the alleged attackers.
Talking to ANI, the victim's father said, "It has been 10 days to the day my daughter died".
The court passed the order based on a representation received in the office of the chief justice, alleging that the police action was extra-judicial killing.
A crowd gathered at the site of the shooting and threw flower petals at police vans in support of the action.
People participate in a protest against the rape of an eight-year-old girl in Kathua near Jammu, and a teenager in Unnao, Uttar Pradesh state, in Amritsar, India, April 17, 2018.
Tough laws were enacted after the 2012 gang rape and murder of a woman in a bus in New Delhi that led to an outpouring of anger across the country, but crimes against women have continued unabated.
A poll of gender experts by Thomson Reuters Foundation in 2018 rated India as the world's most unsafe country for women. iN 2017, Police registered 33,658 cases of rape in India, an average of 92 rapes every day, according to government figures.
Many other Twitterati vociferously condemned the incident.
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"Great work #hyderabadpolice.we salute u", top badminton player Saina Nehwal tweeted.
"In a modern and rights-respecting society, using extrajudicial executions to offer justice to victims of rape is not only unconstitutional but circumvents the Indian legal system and sets a grossly wrong precedent", it said in a statement.
Telangana Rashtra Samithi (TRS) Parliamentary party leader K. Keshav Rao, however, said he that would have been happy if the accused were tried and punished by a court of law.
According to the police, the snatched weapons were in an "unlocked" position.
The minister said killings of the accused in an encounter will give peace to the victim.
"We thank everyone who stood by us".
Police remained tight-lipped on the progress of investigation into the incident. "If you're going to kill the accused before any due process of law has been followed, then what's the point of having courts, law and police?" she said.
"Asking people to say "no to trigger track injustice", she said, ".so all that the state will do in the name of ensuring that women live as equal and free citizens is to add to its arsenal of unlimited, arbitrary violence".