What Malpaso said. You should ask her if she would be interested or at least willing to learn about firearms and get her one if so. Ditto on the .38.

A nice Veritas folding buck saw takes very little room, yet would give her the ability to cut tree branches or small trees. Good for shelter building or for firewood if she can find deadfall.

Get her a good survival manual - SAS Survival Guide or US Army Survival guide.

Take a couple weekend days and work with her to get familiar with all the stuff packed in there, and do some practice in using the stuff she's not used to dealing with.

Start some fires without matches, for instance.

The more she knows about her kit and how to use it, the better of she will be. If she's hesitant to get involved, mention to her that her knowledge of these skills could save not only her own life but the lives of others.