If you are VERY close to dying of starvation, go fishing, first of all it doesn't cost you any stamina and so 1 hunger point can last you enough time to fish up at LEAST a fish. Of course you'll have to have a string (
http://havenandhearth.wikia.com/wiki/String), fishing pole and a bone hook which can be hard to get without the skill hunting first to wrangle a bunny/chicken.'
If you think you still got a bit of energy left then get hunting skill and hunt for rabits in forests or look for grassland/moor/hearthland for lots of chickens. After you get some LP from roasting all that meat you should be able to buy fishing, then you'll never starve. Then you can finally have time to make that bunny slipper!