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[Doctor Who, The Girl In The Fireplace]What would have happened if The Doctor took Madame de Pompadour?

The clockwork people were only after her, would they have broken if he'd taken her before she was 'complete'?
gpt
They wanted her for her "parts". The Doctor did not let them take her at all, complete or otherwise.

And their logic was rather tortured. They wanted her because "We are the same". Translation: They had the same name. The vessel was called The Madame de Pompadour. They believed she was not "complete" because she hadn't reached a certain age yet, which was the age they were.

Either way, they may have believed they "needed" her, but there were better ways to repair their vessel, ones that didn't involve killing people and harvesting their organs.