Florence Pugh Is Skipping 'Don't Worry Darling'

Florence Pugh will skip Monday's press conference for Don't Worry Darling at the Venice International Film Festival

although she still plans to walk the red carpet for the premiere later that day, according to Variety.

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A source close to the Dune: Part Two production tells PEOPLE that Pugh is flying into Venice from set

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Another source adds that this had always been the plan, though it just came to light with the Variety report.

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Regarding rumors of a pay disparity between the Academy Award nominee, 26,

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her co-lead Harry Styles, Wilde, 38, said: "There has been a lot out there that I largely don't pay attention to.

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"I'm a woman who has been in this business for over 20 years,

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it's something that I have fought for myself and others, especially being a director.

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