I don't know. I've been handling guns since I was 10 YOA. I just can't warm up to the Shield 9mm, mostly because the slide is just a bear. Ours were some of the first models released. My wife handles it ok, but shoots her Ruger SP101 better - in DA believe it or not. I only grabbed a Shield, so I could shoot my own if my wife had questions (she was very possessive of her Shield, which is fine by me), but I've never taken mine out of the safe. Honestly, if you were my neighbor I would give it to you and I'm not kidding, It might break in to be a fine weapon, but I'm not sure you or I have the time to do that and I'm guessing you don't have a range to make it happen anytime soon.
No experience with the S&W 380, but my brother seemed to like his Bodyguard.
You/I agree on the G43. Snappy.
More expensive, but the Sig 938 handled well for me for its size.
EDIT: So, a long while back (2 years?), my P938 had the guide rod issue, where the two piece rod came loose. Not a huge deal, but when I called Sig they wanted me to return the pistol. I was agitated and just tossed it in the safe. Today, I was cleaning it and put some Lok Tite on the rod. Reassemble, now I have another known issue with this model, where the hammer drops 100%, when you disengage the safety. I'll send it back to Sig, but just wanted to advise that if you're getting a P938, wake sure it's new, or at least made recently.