Justice Siddharth Mridul also issued notice to Delhi Police and her parents seeking their reply on her plea seeking protection from harassment, intimidation and coercion by her family.
In her plea, the 18-year old has alleged that her father, an "influential businessman" with "deep roots in Uttar Pradesh", had "activated the state machinery" to deprive her of her "fundamental rights to life, liberty and education" by trying to coerce her to get married to a man of their choice.
After a hearing, the court sought the UP Resident Commissioner's response on the allegations before October 5, the next date of hearing.
The counsel for Delhi Police has also assured the court that "adequate protection" would be provided to her.
The judge directed that the beat constable of the area, where she is staying with some activists, should be sensitised in this regard.
The ordeal started four months ago when the girl had a trivial argument with her mother over her hairstyle. When her mother confiscated her mobile phone, she discovered that her daughter had a girlfriend.
Once here, the parents took away her passport and Green Card and told her that she would stay in India and "learn to be a proper girl", the plea said.
The petition said that in July, the girl, who was studying neurobiology at the University of California, was "forcibly" enrolled at Dayalbagh Educational Institute in Agra and told to "keep her mouth shut" about her gender preference and sexual orientation.