Baby It's Cold Outside targeted as being an example of sexually coercive behaviour. https://www.bbc.co.uk/news/world-us-canada-46413209 In my view, the man in the song is simply concerned for the lady's well-being. The clue is in the song title - it's cold outside. Chances are she would not have had appropriate footwear for such conditions, and the road gritters in those days were lamentable. If he let her walk home (there were no cabs in the area) he would get berated for letting her out alone and not allowing her to stay inside. He was in a no-win situation.