^ Agreed.
For
benstt's specific case, I think that he needs to first "re-frame" the firearm for his girlfriend:
...My girlfriend is frightened of them since someone she knows got accidentally shot, in her own home, with a deer rifle used by a careless person.
Because of this event, his girlfriend currently has a very negative experience with firearms - the first thing to do should absolutely be to show her that the tool can - and should - be handled safely (as many here have brought up in previous posts) and with care: and let that respect naturally blossom to enjoyment, without the overt pressure of "let's go to the range."
Work to transform her negative experience into at least a neutral, if not positive one, by giving her positive associations with firearms in your home. She's neither a pet nor a child - but the same techniques will work to help her replace/erase that negative.
If she recalls the noise of the unintentional discharge, she'll likely be a little weary of muzzle blast and concussion as well - so again remove the original stimulus, and take her to an outdoor range to start (preferably one where you do not need to stand in an enclosed shooting stall of any kind, even a simple overhang for an otherwise open-air station will cause both the sound and concussion to "bounce," whereas in an open area, that energy will simply dissipate) when she's finally ready to shoot. Before you go, demonstrate to her the effectiveness of proper Personal Protective Equipment (PPE), that with quality ear-protection, her hearing will be unaffected.
Starting with sub-caliber trainers, again as many others have suggested. Airguns and airsoft (the reciprocating slide of a Gas Blow Back or "GBB" airsoft pistol can further help) can be a very good way to bridge her into .22LR firearms, which in-turn can be very quiet (compared to centerfire) and offer minimal muzzle blast as well as recoil.
If she is up for it, talking about how modern safety protocols recommends that we equip ourselves with "blow-out kits" to handle hemorrhage from gunshot wounds - and show her how to use the tourniquet that you carry as a part of your EDC and/or range kit.
I've always believed that knowledge obliterates fear, and I've been successful (so far!) with this one, who is of-course bombarded by mass-media and other anti-gun sensibilities each and every day:
^ 2017 - She was 11, then, and even the flyweight S&W M&P 15-22 would get too heavy for freestye head-shots at 65 yards.
You'll also note that as with some kids, she's afraid of the heat from spent cases - those "compression arm-sleeves" work great, and are cool enough even for a hot summer day.
We make safety a BIG part of every one of our range sessions, and you can see that she has a C-A-T on an OC-Tactical CAT Trap, strapped to her RCS Sonny rig.
^ Fast-forward 3 years to this winter, and she's hot-dogging a smiley-face on that same steel, freestyle unsupported.
Oh, and when the time comes,
@benstt , let her pick out her own gear. Just as you wouldn't want to be told how to dress, don't cramp her style, either. Let her pick, with your guidance, so that she feels good in what she goes out to the range with, while knowing with your help that it's going to keep her safe.
You can see that my little one is somewhat hung-up on
Resident Evil, and that cap both keeps cases from dropping between her face and her glasses as well as helps her feel like the bad-ass heroines in those stories - same with her morale patches (you can't see it, but there's a limited-edition Wonder Woman in the first pic, on her Sonny rig, and in the second, there's a limited-edition etched-metal San (Princess Mononoke).
Gloves are her pick, too - the latest Cold Weather PIGs from SKD Tac. A girl's gotta get her style on, ya know?