Most useful woodsmanship skills?

[Snowwalker]

A couple rolls of TP in zip locks bags..can't leave home without them.......I hunt with a woman. On the plus side having to cuddle to stay warm is not as weird.

[Sam Menard]

There is a difference between being a hunter and being a good woodsman. To me the latter means having a sound understanding of the outdoors, and knowing you could survive and navigate without the usual gadgets and creature comforts. Important skills and knowledge include: tree and plant identification, knowledge of fish and wildlife including their life cycles and behaviour, navigating with and without a compass, survival skills, ability to walk quietly, weather knowledge, basic astronomy, some geology, tool making and carpentry skills, wisdom, and creativity to get you out of a jamb.

In response to the OP's question, the most important skill is the one that you need right now.