Skinning a deer requires upper body strength once you get down to the shoulder area. It would take a hefty woman to do so, but I suppose it's possible. Not sure about bears.
I thought we were talking about fish, but I will say the most prolific fisherman I ever saw was a woman. I was with my Dad fishing on the Dauphin Island pier several years ago and we hadn't caught a darn thing. It was about night time and as we were leaving to go home we witnessed a most unusual phenomenon. As far as the eye could see, in both directions, was a solid dark mass underwater. This water was about 3 feet deep and the dark mass was mullet, averaging about two feet in length, some around two and a half feet long.
There was a woman there wearing rubber boots and she had filled two 55 gallon plastic garbage cans with mullet. There were mullet scattered all around the deck of the pier. I had a weighted triple hook about an inch and a half in size, and lowered it into the water and snagged up three large mullet before we left. Now this was not as easy as you would think, but I managed to catch some fish as we were about to leave for home. Took me several tries, but the woman was snagging at least two at a time every time and probably caught at least 150 fish within 30 minutes. She had the grappling hook technique down pat. Never seen anything like that before...that many fish concentrated beneath the pier or someone catching them so expertly.
Les