Into The Forest is the beautifully and imaginatively illustrated story of a boy who's upset by his father's absence, and is then given a cake by his mother to deliver to his grandmother.
Our hero decides to take the short cut through the forest where he encounters various fairy-tale characters who want him to give them his yummy cake. He, however, is determined to give the cake to his grandmother, and all ends as it should. It's worth mentioning that he's shown in full colour, whilst the forest and its fairy-tale characters are all black and white, apart from a red cape which he dons with interesting results.
It's ironic (or perhaps not) that a book about dealing with anxiety should generate so much anxiety, starting with this parent - I find the book rather more scary than my four-year old, who cruises through it with great pleasure, happily finding the characters hidden in the forest illustrations.
I think that children have their own fears, which Anthony Browne understands well. These do not include worrying about whether the father's absence is properly explained (I'd say it's there in the book) or whether the book's suitable for children (I'd say it shows that being worried about something doesn't mean that you have to give in to fairy-tale anxieties).
My advice - lose yourself in this forest of brilliant story-telling and intriguing illustration.