The OP mentioned 380 because his wife is petite, with small hands and is looking for a good, non-.22 gun that she'll enjoy shooting. Some threads drift pretty quickly, but in this case I think we're doing a disservice by simply answering his question as he posed it. As several people have already mentioned, there are a whole host of factors that contribute to how "easy" a gun is to shoot, and generally speaking a gun chambered in 380 is going to fall short.
You simply can't get around physics, and a smaller gun will tend to recoil more. On a certain level there is far too much subjectivity to how we perceive it, but a "pussycat" to an experienced shooter (male or female) could just as easily be unpleasant for a newbie. What dcmdon, myself, & others are suggesting is taking as much guesswork and subjectivity out of the equation as possible and going with what is pretty much an objective truth: A larger, heavier, recoil-operated gun in a relatively small caliber (say, 9mm) will be softer shooting and easier to manipulate.
It may not be the answer that the OP wants, but I think it's the right one.
I thought this is where the Sig 232 would shine. It is considered "large" for a .380, but is alloy. This makes it heavier than plastic, but lighter than steel, which is "just right". The style and ergonomics on the 232 are also quite good. Otherwise, I'll go along with the others who said to get a larger 9mm, for the reduced recoil, especially if this is a range only gun.