It’s painfully obvious, it’s not even thinly-veiled, it’s outright overt:
“I want to make you sweat” – sex
“Looking in your big brown eye” singular – anal-sex
“If you cry out I’m gonna push it some more” – non-consensual
“So I say to myself if she loves me or not” – non-consensual
The music-video doesn’t discount the lyrics; they made that after the song was written and obviously couldn’t portray a guy anally raping a woman; in fact, they may have done the video like that to deflect the inference.
I’d been looking askance at the song Baby It’s Cold Outside for decades, but I never heard anyone else talking about the obvious problems with it until 2017 when the #MeToo movement blew up. I wonder how long it will take for people to start questioning this song. ¬_¬