''Baby, it's cold outside'' is a song that was written and released in the 40s. There are a lot of versions of this song and it is a nice way of showing your coldness whether is from the outside or from the inside.
The song consists of a duet between two persons, a call or a reaction of the host (usually played by a man - aka ''Wolf''), and a remark or response from the guest (usually played by a woman - 'aka ''Mouse'').
In other words, the lyrics suggest the host tries to convince the guest to remain for a romantic evening because he fears she will become too cold outside whereas she thinks she should return home to her worried family and neighbors.
The truth is that it is kind of cold at the beginning of autumn, and I fear that there would be such a cold winter...not only from the outside but most important from the inside. So, hope that this ''Baby'' would rather comfort me than annoy me in these cold times.
Consulted websites for this song: Wikipedia