Those are drastically different capabilities to be answered by different questions.
For the RAW, how deep do you usually go (or want to go) into editing? If you want the most power and versatility, you should shoot RAW. Especially if you typically shoot in Auto, you probably need to correct a fair percentage of your photos for color temperature and/or exposure.
But if you prefer to stay within the bounds of simple editing, JPG could do well enough.
As for the flash option, what type of lighting do you most use - natural or artificial? Outdoors or in? If you spend most of your time shooting landscapes you don't have a great need for a flash. But if most of your shots are of family functions then you should have a good flash.
I, personally, would go with the RAW capability because
I like being detailed and I mostly use natural light. But your needs may be different.
And I don't think most cameras are difficult these days - fairly straightforward, actually. I gather your wife is not camera savvy, so if all she ever does is shoot in Auto and review/delete her shots, that would be pretty easy to learn, whatever she may have.