The late Padme Amidala was well-known for her work as both queen and senator of Naboo. As sharp-witted as she was beautiful, she fought for the welfare of all and opposed war at every chance, which in turn gained her popularity among the citizens. Her untimely passing was a devastating blow to many, often likened to the loss of a bright star in the galaxy.
Some time after the Imperial Prince and Princess made themselves known, they revealed their connection to Senator Amidala along with her secret marriage to Lord Vader. The backlash of this discovery was undoubtedly softened by the public’s adoration for the twins; any strong reactions regarding Amidala’s union with Lord Vader was soon dispelled, and whatever uncertainty that lingered in the aftermath was left unspoken.
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Here is Padme's portrait for the AU! I'm not sure how many paintings Vader would have of her since it could be a touchy subject, but for the sake of his kids, I imagine he'd commission at least a few XD
