*sighs for the 300th time*
Do I really have to explain why "Baby, It’s Cold Outside" is the opposite of what people in modern day assume it's about? Out of context it sounds creepy now, but the language would have been very understood in the 40s/50s to mean the couple is trying to socially cover over up wanting to spend the night to together.
(Yes it should probably be retired, but because it's old and boring.)
The 'feminist' interpretation of the song comes from a much later time and such an interpretation doesn't provide any evidence that that is indeed what is happening in the song.
The best evidence is to go back to the Loessers who originally wrote and performed the song. In the libretto, they named to two parts 'mouse' and 'wolf.' It was eminently clear what is happening. Sure, 'mouse' is tempted, but 'mouse' also has doubts. Doubts that 'wolf' is wolfishly bulldozing over.
Sometimes is a cigar is just a cigar. And someone is pressuring someone else to smoke it.