If she plans to purse carry, why get a little .380?
I don't have a 238 yet, but we've (wife and I) carried the original Colt Mustangs for years without a complaint. The only issue I'm going to see is that the gun should be carried with the hammer cocked and the safety on, this will leave a nice dust/lint nook so be sure to clean that space between the slide and the hammer daily.
I plan on picking up two Sig 238s to replace my Mustangs in carry rotation. The design has been slightly improved by adding real sights, a spring tensioner on the ejector preventing a particular issue, and a removable mainspring housing to allow for easier maintenance (speculation, the original is a pain to take apart from inside the mag well with the grips off)
Out of curiosity, what's wrong with the Bersa?