I went through a similar situation. First time she fired a .40 she almost cried. Put it down and quit. I bought her a Walther P22. She likes it. Still can't shoot. We realized it wasn't shooting the gun. It was all the other people at the range shooting unhinged her nerves, not knowing when they were going to fire. Hell, I still jump sometimes myself when I'm not expecting a shot. Maybe some alone time for her at an empty range, ease into it with a .22, and just sit back behind her in case she wants to ask you something, and let her do her thing, assuming she knows all the safety rules already.
She is also TERRIFIED of dogs. In the last year or two, she has found she can tolerate small dogs, and has worked her way up to trusting her best girlfriends German Shepard after getting to know it slowly. I'd say... easy does it, ease her in slowly with a small gun at her own pace.
You can run... but you'll just die tired. 3%