From my experience of coaching my previously sedentary, unathletic, chronically ill wife I think you should begin with classic Pavel minimalism, that is, a program of just a big pull and a press. If you want her to stick to training long term, she needs to experience a series of "wins" - hard enough to be enjoyable, yet easy enough to be achievable. Failure conditions learned helplessness, which in turn will usually cause a person to abandon a given activity.
For the hinge part of the program, I would go with classic SF approach of learning the kettlebell deadlift and then transitioning to the swing. Start with a very light weight. Pay attention to the perfect back position - if she cannot reach the kettlebell's handle without losing spinal extension, you need to elevate the weight.
This article by Steve Freides should give you some ideas. I suggest deadlifting three times a week, in 5-10 sets of 5 reps.
Once she can do a correct deadlift from the floor, introduce swings. I recommend doing some kind of Pavel-style (prescribed rest, autoregulated reps) A+A program. My personal favorite (from a SF blog article by Mike Torres, if I recall correctly) is the one that has you perform sets of 5 reps on the minute until you can reach 20x5 while passing the talk test and other SF stop signs; then you switch to performing them on half-minute and work up to 20x5 again. The inherent time limit helps to fit it within a busy schedule, such as one caused by long study hours you've mentioned in your original post.
For the push part I would go with a horizontal push. Barbell bench press would be great, but it's likely you won't be able to find a bar light enough for her to lift. Dumbbell or kettlebell bench press may pose problems with getting into position and potentially increase risk of injury. Therefore, I recommend an one-arm floor press. Kettlebell is better, but you may not have ones light enough, or in fine enough increments (my wife had to start with a 4 kg).
Here's a SF article about KB floor presses (most of it is also applicable to DB ones), and
here's my comment with some more pointers. I recommend a low volume program like Soju&Tuba. You may also try ladders (although the time commitment is substantial, and the volume crushing in my experience) or an ES/EES approach.
This should be sufficient for couple of months at the gym. If she needs any more things to do at home (and you should really consider whether she actually needs them, or whether it's you who would want them if doing such an abbreviated program) you may get her an ab wheel and/or have her GTG pistols (start from a high elevation and possibly concentric-only: go down on both legs, go up on one).
Keep in mind the psychological side of it. She has to experience going from success to success. Even if the progress will be small at the beginning, point out every tiny bit of it to her. Even if you will be disappointed at times, don't express it. You are building a lifetime commitment.