Take time to think about safety. If you're hunting with others, plan and talk about the hunt. If you're going to hunt alone, tell someone where you're going or leave a note at home.
Wear a whistle. Decide signals for I'm hurt, I'm lost, and deer down.
Also trust your compass. Take a reading before you set foot in the woods. Know how to get out.
I hunt the Adirondacks every year. This past year we took a day to try out different State Land. No trails, footpaths, cell phone reception... just wilderness. After scouting and hunting, it didn't take long to look behind me and realize everything is starting to look the same... I got into "ok... after this hill is the road." That went on for some time and I started to panic that I had been walking off course for some time trying to get out.
I pulled out my compass and put my faith in it. I didn't recognize any of the terrain, but found my way out. I was considerably off course, you could only see the dirt road if you were within 30 feet of it.
I've heard stories about this experience happening to others and truly understand how it happens. It almost got the best of me. Honestly I was close to "I read my compass wrong, and the way out is not what I thought it was... I should have been out by now."
I had a real chilling thought afterward about someone standing only 30 feet from the road in a state of panic and then walking off for days.