Goes hand & hand
...
It's no different than when you both were kids and got your first bicycle, the fear of the unknown, basically, starting off with trainer-wheels first but, "getting on the bike." And, like having a gun in the house, seeing it, and IF she joins you, up the road, and goes to the range, the fear of the unknown is basically the problem. Unlike once we learned how to ride a bicycle and never forgot, one cannot take the 4 rules of gun safety for granted, they must be etched in stone, each and every time..
If you do your job right, exhibit all the safety rules, and educate her, and yourself, on them, as you go, and do it right, she will take notice and learn, and in time, 1 month, 3 months, hard to pin point it, but she, like my wife, will "learn" in time thru safe actions and visual demonstrations by you, of how a gun is as safe as its owner and become comfy seeing it in the house loaded.
Which is another fear of the unknown many new handgun owners themselves have to go thru; the fear of an AD or ND, and again, using the 4 rules of gun safety will get one from having a full mag, but not one chambered, to, as time goes by with no AD/ND, the way it should be, IMO, mag full and one in the chamber, and no AD/ND. And both of you will become comfy thru knowing, and seeing, the 4 rules at work, and do work, and the *trainer-wheels come-off, and you (both) start the real journey, and will enjoy it, everything done the right way.. Thru *balance & safety as the fear dimishes, replaced by, education and respect.. thru trust of what you both learned and use every day with a gun, or guns.
It just takes both, time and education by you and for you and, of, her observations and of, her asking questions and learning herself..
It will work out if the 4 rules, along with, if you have kids, then ya need a gun safe of some sort.
Give it time and use of: "shown thru example" and it will become part of the daily routine of the household.
Ls