Do you want an SLR, ie a 'proper' camera where you can change lenses, look through an optical viewfinder, take manual control of the settings? You basically have two choices, a proper SLR where the viewfinder looks through the lens via a mirror and the mirror gets out of the way when you press the shutter, or a compact system camera which apes that, and which has interchangeable lenses, but where you are not truly looking through the lens. I started with an SLR, which I love, then got a compact system to take out and about more easily (they are, as the name suggests, more compact!) but tbh I don't really rate it. Neither fish nor fowl in my opinion - too clunky to manually adapt like my SLR, and the viewfinder annoying as it is not the same view as the end photo. Also I think somewhat more expensive!
If you think she might get j to photography I would herfore recommend an entry level digital SLR camera. There are several manufacturers but the majority of the market is split bwtween canon and Nikon. There is a lot to be said for sticking to one of these as there are more lenses available (both by the majufacturer and third party compatible) and a buoyant second hand market in lenses and other attachments, which is really worthwhile.
I use canon and love love love it but I think Nikon is pretty much equivalent - the pro market is roughly split between the two. If you start with the cheapest entry level SLR it will still be amazing. You can buy just the body but you will need s Jen's - the kit lenses that come with the bodies in a starter pack aren't the greatest but are still a hundred times better than a point-and-shoot camera and a good place to start fur a learner.
I think it all depends on your budget - to get a real SLR you are looking at a few hundred. Worth it ibyiu can afford it and if she has expressed an interest but v expensive if she might not be very interested!
As a starting point if you are not sure you could always look for a second hand camera of the prior model - will still be very decent. Best to buy from a proper second hand dealer though because the sensors are quite sensitive if someone hadn't looked after it - orally youbwant one reconditioned with a. Guarantee.
Hope that helps - I can be more specific if you have a budget in mind!