I'm a NRA instructor, have been for years, here's a couple of points I've learned along the way.
1. Women are better students and usually end up being better shots then men.
2. Do not try to pick out a handgun for your wife.
3. Let her shoot many different handguns suitable for her intended purpose.
4. Borrow, rent, go to gun stores, have her feel fit and triggers, as many as she can.
5. She'll tell you when she finds the one that fits and feels good in her hand.
6. You'll probably end up buying more than one over the first year or two.
7. Find a female instructor for her if you can, it's important that she learn without the dominate male "I know it all and you're just a dumb broad" influence, in the instructor or other students.
Now, as to your question, short barreled handguns are hard to shoot, both from a recoil standpoint and a accuracy standpoint. Therefore, if a snubby is going to be the final choice it might be good to start with a .22.
If she is not adverse to recoil, a 38spl or a 9mm is a good way to go.
Revolvers are inherently safer for a beginning student and some females do have a problem working the slide on a semi automatic.
With all that said, from my wife's personal experience (I was smart enough not to be her instructor), here's her progression in handguns.
She did have an excellent female instructor, has her carry permit and does so daily.
1st handgun. Ruger LCR 357, good trigger, good trainer, simple to operate and handled light 357 (GS 125's) easily. A lot of training shooting was with .38 target loads. The LCR was not reliable with 357's, back to the factory once, returned, would still lock up, so it went down the road.
2nd handgun, Sig P238, easy to handle, slide is easy to use, utterly reliable, never any problems, over 750 rounds, and is used as the preferred daily carry.
3rd handgun. S&W9c, same as above, totally reliable, bonus is the three different hand grip sizes and she can put on the one that fits the best. She has learned to work the slide and shoots it very well. It is her range gun and night stand gun.
4th One that surprised me is my Colt Defender 45, she shoots that thing better than I do, recoil is not a problem. Keep in mind that this progression is over a three year period, she also is proficient with my Mossy 500 short barrel 12ga and my Colt AR15. It took a while to get the fires lit, but watch out when they start to burn and get your check book out! By the way, she has more common sense then most men when it comes to firearms, she's 68 years old and grandma can shoot!
Any of the name brand manufacturers produce suitable products with caveats, wait a year before buying a new model, don't be the beta tester for the manufacturers. Any company can produce a lemon once in a while, handgun companies, car companies, etc, look for "unbiased" reviews, if you can find them. Then, make sure you put the "fun factor" into shooting. With the proper training it'll be something that will last the the both of you for the rest of your lives.