Situational awareness is very important. She could take an affordable seminar taught by a cop or martial artist and ask questions there. Those are fun and you could go too! You can know what to look out for, like a guy trying to sneak up and grab from behind.
Dont forget dogs are probably the biggest threat to a woman jogging, as well as being careful to not be hit by a car, etc.
Make sure she has thought through scenarios, maybe role play with her using a fake gun, and make sure she has practiced drawing in her running outfit so it is second nature.
If is also very important to be mentally prepared to kill when the time comes, especially for nice women who are not predisposed to violence. Alone in the woods her justification to shoot is going to come quickly, and giving aj attacker the benefit of a doubt could mean she will nit come home to you.
If she wouldnt mind I would look into carrying these, but if it makes her not want to run, then leave them out:
1. Extra mag for the little pistol (if something happens she may have unloaded all 6 rounds, so nice to reload as she waits for help or what not).
2. An extremely sharp fixed blade 'anti-rape' knife like the small TDI Law Enforcement knife.
.380 is a small niche caliber so id carry bullets that penetrate well like fmj, Underwood XTreme Penetrator or XTP
If she is squeamish about shooting or knifing people maybe show her a coroner textbook where you can see examples of oeople who didnt kill the murderer. I know it helped me personally to do that.