Hanging from a tree in the woods is actually a common form of a suicide. Cases like this are in the news from time to time.
I looked up the stats for Canada and hanging for women was higher that I would have thought. Something like 30% of all suicides for females. It doesn’t break it down by where or what methods.
My comment was only anecdotal. The males hung themselves in the basement or garage usually. I had a relative (distant and in the long past) that did it that way.
Had a beloved teen missing for a few weeks locally. Found hanging in a wooded park. He was high up, no one saw him.