Raje also said that the Censor Board should consider all possible results before certifying the film, a day after the Board sent the film back to its makers because the application for the certification was "incomplete".
In the letter to Irani, she suggested that a committee of historians, film experts and members from the Rajput community be formed to look into the film's subject and necessary changes be made to it so that it does not hurt the sentiments of any community.
Both Padukone and Bhansali have received threats.
The film is based on Rajput queen Padmavati and is scheduled to release on December 1.
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Various Rajput groups have been protesting across the country, including in Rajasthan, against releasing the film, alleging it "distorts" history and hurts sentiments of people.
Yesterday, the protesters blocked entry to the Chittorgarh Fort in Rajasthan. Today, a similar protest was held at the Kumbhalgarh Fort in Rajsamand district of the state.
Therefore, she said, there should be a rethink on the release of the film, an official statement said tonight.
A delegation from Mewar region, comprising the state's Urban Development Minister Shrichand Kriplani, MLA Chittorgarh Chandrabhan and others, met Raje at her residence and expressed gratitude for writing the letter to Irani.