You've lost your axe. Despite everything the Reverend might say about you being a lunkhead, you know where it is: the dark forests behind your cottage.
Cold Iron has a relatively limited scope for one of Plotkin's games, both in size and implementation. Even with my limited puzzle-solving skills, Cold Iron took me about 5 minutes to finish. The puzzles, however simple, are pleasingly quirky: the things you find are linked to stories in your book of tales. The items needed to solve the puzzles are highlighted by the writing effectively, so it should not take too much effort to figure out what's going on.
There is also a pleasing, if ambiguous, twist, which made the small puzzles that much more satisfying, even adding a bit of emotional depth to the otherwise straightforward story.