Small does not equal easy to shoot.
Too many women get steered into "petite" guns that are miserable to shoot by well meaning but ignorant men or by their own ignorance.
S&W J-frame or a Glock 26 size gun are the smallest shootable guns.
.32, .380 both sound like good ideas right up until the reality of the guns they come chambered in sets in.
Light weight. straight blowback pistols with crappy sights, two finger grips and 12# triggers are not conducive to good shooting (especially for new shooters).
I've seen this scenario play out literally hundreds of times in my CCW classes.
Woman (or man) can't shoot for $h!t with their pocket gun, immediate improvement as soon as they pick up a nice J-frame or Glock.
The improvement comes in both their results on paper and their enjoyment in shooting.