Sorry for the late reply. That screenshot was taken before some last minute revisions to the tutorial were made. The snow removal mechanic is taught in by talking to the first house. You press space while next to a block of snow you want to remove.
Once you learn that mechanic you can get through the snow without any issues. Its only certain blocks of snow that can be cleared. You can tell by the outline and different texture of the clearable snow. Please have another go at the game, and thanks for commenting!