In English we also have "to be out of the woods", in the sense that we are "in the free and clear", having resolved problems and reached safety or stability. This is also used in a figurative sense, when someone is recovering from an acute illness for example: "He's not out of the woods yet."
So figuratively this could mean that a person finds himself in a strange situation, and not only a more literal territory or place.
Even though it is not a common phrase in English, I believe that perhaps the author like the alliteration, especially if this is from a song.