My wife really took to my Ruger MkIII the first time out. She actually shot really well with it, with minimal coaching an no experience. However, I would not suggest using it for concealed carry by any means. I know people that carry a .22 for concealed carry, and it is better than nothing. However, I think if she is going to be serious about using it for CCW a .380 auto is a much better choice.
I would suggest taking her to a range that has guns for rent, and starting her out on a .22 for one shooting session. Next time rent a .380 auto and have her try that. The .380 in a pistol that fits her hands well should be very manageable.