1
general::
Out of difficulties, danger or trouble, as in We're through the worst of the recession? we're out of the woods now, or That pneumonia was serious, but Charles is finally out of the woods. This expression, alluding to having been lost in a forest, dates from Roman times; it was first recorded in English in 1792. The British usage is out of the wood.
American Heritage Idioms
2
general::
Phrase(s): out of the woods
Fig. past a critical phase; out of the unknown. • When the patient got out of the woods, everyone relaxed. • I can give you a better prediction for your future health when you are out of the woods.
McGrawhill's American Idioms And Phrasal Verbs