.380 Pistol choices
If the answer is to stay with the same ammo you're currently shooting, then I'd say the only DAO, med frame .380 that I know of is the Sig P-250.
Re G-F's Hi-Point comments, I've sold dozens, and always mention that I've never heard of someone who regretted buying a Hi-Point.
That said, it still makes more sense to me to buy a 9MM; with .380 ammo costing so much more than 9MM, within a year or so of shooting, you will save enough on 9MM to make up the difference in original purchase price.
That said, I personally have no interest in a Hi-Point, they're too clunky for my tastes, but to each, his own!
Andy, there's a lot to be said for the simplicity of a revolver if your wife has trouble racking semi-auto slides, but stay away from snubbys, go with a full-size.
I'm trying to understand your stated requirements. If this is a range gun for your wife, why a .380, and why a DAO? The .380 round is virtually, by definition, a personal defense round, not a range round. Generally speaking, 9mm is a better range round, in no small part because .380 ammo will generally cost you between 60-90% more to shoot than 9mm.
In addition, the vast majority of .380 handguns are fairly small, short-barreled devices, again, because they're designed with personal defense in mind (i.e., the LC380). Barrel lengths typically range from @ 2.5-3.66".
Oftentimes, novice and/or more petite shooters are attracted to these guns as a function of the relatively small frame size and relatively light slide spring resistance.
Note that neither of these guns is a DAO. The Sig P250-380 is indeed a DAO.
The DAO design exists as a safety feature when carrying the firearm; for range purposes, given that the shooter has virtual total control over the situation, the DAO safety benefits become quickly outweighed by the heavy trigger.
If your wife is concerned about recoil, smallish .380s may quickly sour her on shooting, as they can be fairly punishing to shoot. And given their relatively short 2.5-3.66" barrel lengths, accuracy is quite limited.
She'd be better off with either a .22LR (except for the difficulty in finding ammo!), or a mid-size 9mm striker-fired gun. If you've already decided against a .22LR, there are still several striker-fired (same trigger pull every time, but much lighter than a DAO) guns on the market that might meet her requirements.
Take a look at the Ruger SR9 or SR9C. The striker-fired Ruger SR series guns have relatively slim grips that tend to accommodate smaller hands, as well as the following safety features.
1) External Safety
2) Dual-Stage trigger (safety feature)
3) Visible striker-set indicator (safety feature)
4) Visible & tactile chamber-ready indicator(safety feature)
Check 'em out, you may be pleasantly surprised!