(idiomatic) Out of peril; likely to recover or prevail over trouble; finished with the worst or most threatening part of a problem or illness.
The patient is feeling a little better, but she's not out of the woods yet.
Used other than figuratively or idiomatically: see out of, the, woods.
Source: en.wiktionary.orgIf you are afraid of wolves, keep out of the woods. Joseph Stalin
As any old Taoist walking out of the woods can tell you, simple-minded does not necessarily mean stupid. Benjamin Hoff
It is a wise old saw that warns us not to whistle until we are out of the woods. George William Curtis
Don't crow till you're out of the woods. Irish Proverb
Hunger fetches the wolf out of the woods. American Proverb
Hunger drives the wolf out of the woods. Romanian Proverb