Start slow with her. Mabye you could both come up with scenarios that she might find herself in.

I'm guessing she won't likely find herself lost in the wilderness while hunting, but she could find herself trying to find something in the dark or trying to figure out which way is north.

Some potential purse items:
-Cell phone - this is probably the most important survival tool for everyday life
-Doug Ritter Photon Freedom micro-light (very tiny and cute, but really gets the job done); if she is willing to carry something a bit bigger, buy a River Rock AAA 0.5 Watt LED light from Target
-Leatherman Micra - yes it is a knife, but it looks more like a pair of folding scissors.
-Suunto Gem (tiny) or Comet (w/ thermometer) compass - goes on a key chain.
-Fox-40 whistle - most women are very willing to carry a whistle - maybe combine it with the compasses.
-Bic mini-lighter - it is tiny and works great for lighting candles at home too.
-A tiny home-made first aid kit containing a few bandaids and a few self-stick gauze pads. She won't need much more.
-A small bottle of sunscreen and a lip balm with higher SPF. Most women know the effects of sun on their face.
-In all seasons but winter, find one of the Totes unbrellas that collapses really really small or a simple poncho (Campmor.com sells a really cute silicone-impregnated nylon poncho that is very light and back real small)
-In cold weather, put a blanket, hat, gloves in her car (and your's too)