The 30-year-old actor also claims Azmi "character assassinated" her when she was being bullied. She, however, did not elaborate on the controversy.
"I was filming 'Manikarnika...' in Jodhpur, got a call from my dear friend Anushka Sharma to sign the petition written by Ms Shabana Azmi, I explained to Anushka that Deepika Padukone has all my support but I am a bit wary of Shabana Azmi's investment in left wing versus right wing politics," said Kangana in an official statement.
"I have my own set of ideas and opinions about the current situation in our country, I am on the fence about many things and being a part of a feminist movement called 'Deepika bachao' lead by someone who character assassinated me when I was bullied, seems to be one of them.
"Anushka understood but I am glad they reached out to me, like I said Deepika has all my support I am an individual perfectly capable of supporting who I like without anyones support," she said.
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An adaptation of Malik Muhammad Jayasi's epic "Padmavat", the period drama got caught in controversy when Bhansali started shooting early this year.
The director has been accused by several Rajput groups and political leaders of factual inaccuracies, and of depicting a romantic dream sequence between Padmavati and Sultan Alauddin Khilji (Ranveer Singh), a claim repeatedly denied by him.
Historians are divided on whether Padmavati actually existed.
Also starring Shahid Kapoor, "Padmavati" was earlier scheduled to be released on December 1. The makers deferred the release as they await a certificate from the CBFC.
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