If you use the "stoke fire" button from the beginning the "cold" status will not appear. When you use it it becomes negative by 10 points and when it reaches positive 40 the girl dies.
Which I didn't particularly like... since "health" status doesn't affect anything in the game.
That's probably the case in the current version so players can test all features. After some polishing it would make sense if the player had to Search more frequently to find extra wood to avoid the bad end