The safest choices for a new shooter are either double action revolvers like the S&W 642 in .38 or similar, or a (Glock 43 / 43x / 48 / 19 / 23 H&K VP9SK etc.) striker fired semi auto.
Where people fuck up .... Rule 1. Off target Off trigger
Rule 2. Muzzle Discipline - ALWAYS control where it it pointed. This concept is similar to the idea that if you never cut toward yourself with a knife.... you will never cut yourself.
Rule 3. Guns are always loaded even when you know they are unloaded.
People tend to grasp with their whole hand when something happens.... that whole hand includes the trigger finger. Ex. Girl driving with boyfriend to range, misses turn, hits brakes while he is switching from carry ammo to range ammo ...BANG she died. If he had controlled where it was pointed, or if he had kept his finger off the trigger, or had enough patience not to do that in a moving vehicle .......
EX: Gunsmith w 1911 that wont chamber because the feed ramp needs polished. Holding 1911 in right hand left hand on slide ... slide goes forward into battery BANG. (This is a thinking mans weapon.) When the griip safety is depressed and the trigger depressed and the pistol is in battery it goes bang. People grip with their whole hand. If that trigger finger is on the trigger it's going to go off. Result was a new hole right next to the test fire tube.
Ruger 22/45 Lite in .22LR could be a very good choice, because there is very little recoil which may encourage her to shoot it and become more proficient.
SR 22 also a strong choice.