My thoughts exactly. Not only the question of is she mature enough but the more critical question is would she have the deliberation to use it?
When I used to work a retail shop we would frequently get a gal who would want a firearm for protection from an ex, some creeper in the hood etc.
If it was their first firearm I would casually sneak a question into our dialogue: “You think you could pull the trigger on somebody if need be?”
More often than not I would get hesitation “Uhm well ah, I guess…..”
That hesitation told me everything I needed to know.
At that time I would try and shift them a bit, maybe a less than lethal such as a taser, bear spray or a dog.
Hesitation in a critical situation will get you killed.
Perhaps your coworkers money and efforts will be better served moving his daughter to a less sketchy part of town.