Buy her a brand-new Dodge Challenger Hellcat or Demon. Then, you get to borrow it from time to time, and as a bonus, she can learn vehicle dynamics on an accelerated (pun intended) schedule. Even better if she can find ice or hard-packed snow. And, great advice on the manual transmission, too.
In reality, you've been given a lot of great advice, and we all have our own opinions. Jeeps are tanks, but they roll pretty easily (I've seen some frightening maneuvers), and the temptation to "see what this thing can do" in poor conditions or off-road may be pretty large for a teenager. The large, old car plan has some good merits, but the small, nimble car thought line has its own advantages. Handling, braking, avoidance advantages, things like that. For me, it would be a Civic or Accord, then maybe a Corolla or Camry. Bulletproof, easy to maintain, and they hold their value, too. Good luck!
(On a side note; Back when I was about 20 years old, I was at a family reunion, and about 15 or 20 of my cousins were there. I had to leave early, to go to a wedding, then the wedding dance. My dad calls me over, and starts talking loud enough for everyone to hear. "Is there going to be drinking at the wedding party?" "Umm, yeah, I guess so", says I, bristling at the thought of being lectured in front of my cousins. My dad says, "If you're going to drink and drive, make sure you have a car.")
(No, he didn't condone drinking and driving, but it was pretty damned funny.)