- "Indu Sarkar", depicts Emergency, releases on Friday
- Woman claims to be Sanjay Gandhi's biological daughter
- She objects to movie, has lost case in Bombay High Court
The top court has refused to assign a date to hear her petition, which was rejected on Monday by the Bombay High Court, which said that no "known descendant" of Sanjay Gandhi has objected to the movie.
Priya Singh Paul, 48, said at a press conference earlier this month that she had been adopted as a baby and only told after she grew up that her biological father was former prime minister Indira Gandhi's son Sanjay, who died in a plane crash in 1980.
She is fighting a legal battle for access to her birth certificate and adoption papers, but said she decided to make her claim public after watching a trailer for the upcoming "Indu Sarkar".
The movie deals with the controversial state of emergency imposed by Indira Gandhi in 1975, when civil liberties were suspended and opposition leaders jailed.
Congress workers have held protests against the film, alleging that it shows their leaders in poor light. Mr Bhandarkar has been assigned police protection in Mumbai.
Sanjay Gandhi's widow, Maneka, and their son, Feroze Varun, are BJP leaders.
Ms Paul says her mother married Sanjay Gandhi in secret because she was underage and was later made to give her up for adoption.
She was brought up by a wealthy couple who did not know her identity but started making enquiries when a family friend told her that she descended from the powerful political family.
Her lawyer has claimed they will seek court permission to conduct a DNA test.