Boy, these snowmen are not messing around. This reminded me a bit of getting mugged. :p
The basic idea is solid. The visuals are cohesive, although the walk animation is a bit janky.
To make the game a bit more forgiving, I would do two things: First, increase the move speed. Second, allow the player to continue on the day on which they died. Having to start over from Day 1 every time feels unnecessary when we're trying to memorize the layout of a new level.