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So, on that basis, pasta ...
The "she" in the song could be making a determined stand for feminism ...
Contrary to the social constraints of the day, she wants to be liberated and free, and wants to stay.
In ordered to do so, she adopts the pretence of wanting to leave so that, afterwards, she can defend herself against the misogynists of the day by saying that she intended to leave, but was compelled to stay when the inclement weather conditions were drawn to her attention.
She is a feminist, ahead of her time, not a weak and vulnerable woman, and making a new version of the song probably undermines her stance for female freedom.
Well done you for finding that explanation, pasta. Good answer, but ...
Best Answer HAS to be pixie ... for being possibly the only person on the planet who hadn't previously heard Baby It's Cold Outside !!!!!!! lol x