On the surface, this does not bode well for the outing. Prior to embarking on your shooting excursion, make sure that the four rules of safety are covered, covered again and then covered a third time. Safety is absolutely paramount, and one cannot take back the action once the projectile exits the barrel. If you are concerned about potential safety issues, err on the side of caution always.she's very inexperienced, and doesn't really listen to me about anything, so I don't have a lot of faith in her taking my firearm instructions very well.
Many have observed that our girlfriends, spouses, or what have you are more apt to pay closer attention and learn from a third party, so if the not listeining part occurs there may still be an option to salvage the situation. If you can get her far enough along to be safe handling a firearm, some finer points might be picked up from someone else fairly easy if the need arises. It is great that you want to share shooting with your girlfriend, and I wish you all the luck in this pursuit.