I would NEVER consider a Jeep Wrangler to be a safe vehicle for a new driver. A few years ago, I watched high school girl roll a Wrangler with three other kids in it when she misjudged a turn and hit a curb. They were all wearing seat-belts and the Wrangler had a roll bar, but one of the kids in back had his left forearm crushed. I don't think that any of them would have been injured if they had had the same accident in either a GC or Liberty.
My daughter has a 1998 Nissan Pathfinder and seems happy with it. Happy enough to name it "Francois".
If your daughter isn't bonded to a Jeep, the Nissan Xterra or Toyota Highlander or 4Runner might be worth considering.
