I have had both a Bersa (CC version) and a Glock 42. I. Found the Glock much easier to shoot and mine was totally reliable, something you have to be aware of in choosing a .380.
The reason I said I have had both is because I sold my Bersa to my son and traded the Glock for a Kimber Micro 9. A very fine pistol in 9 mm.
If you are set on a .380 ACP, I would highly recommend the Glock 42. One thing to consider when buying a weapon is parts availability and no one has more after market parts than a Glock. In addition, they are light, simple, reliable and durable.
But, bottom line, let her handle and shoot as many as possible, she may favor something else and above all, don't let the cheap price of the Esstern Block pistols sway you. Parts are getting hard to find, mags are hard to find and ammo is getting very hard to find. Stick with a Glock, Ruger, , Bersa or other current production models, you and her both will be happier.
Now, these pistols all have a manual of arms that she will need to be trained with, I know you consider your .38 to be less than adequate, but in an emergency, they are much faster for a non trained person to use. No safeties to remember, no mag issues and most important, she won't have to worry about jams from limb wristing or dirt or a faulty round.
Pull and shoot and that is what you want for her. 5 shots from a .38 is better than trying to remember how to work the safety or rack the slide. I faced the same decision with my wife and we BOTH settled on a S&W Airweight with the concealed hammer.