I'm going to go against the previous answers and say that yes, they are super reliable and I'd gladly put my kid in one when they go off to college in a couple years. BUT, we need to know the rest of the story if you want accurate recommendations.
1) Price? This is the biggest as it dictates the answers to the rest of the questions. Cheap price leaves money to get it baselined.
2) Maintenance? Is it up to date on all items including timing belt / water pump? If EVERYTHING is up to date, the cruiser will be more reliable than any other sub $10k vehicle on the road.
3) Who is the primary mechanic? Are you doing the work yourself or will you be paying someone? If you're the wrench, then it's much easier to keep on top of things so she doesn't get stranded. It also defers most of the cost.
4) Is your daughter "in tune" with the vehicle she is driving? Can she tell if the vehicle is starting to have an issue? I had a very slight growl when turning left over 30mph. Most people probably wouldn't have noticed it. But I picked up on it as it was a new noise / vibration. I ordered two front wheel bearing kits and replaced the right front bearing when it was convenient. In the meantime, I still drove the cruiser, I just took it easy and didn't go far from home. Being in tune with the vehicle helps keep you from getting stranded as you'll find the issues before get really bad. If she is completely unaware of what the vehicle is doing, something newer might be a better option.
5) Rust? If that's all there really is, that's easily fixed and not a major concern. The engine bay doesn't appear to have rusty bolts so that's usually a good indicator that it's relatively clean.
All of that being said, it may be a perfect vehicle for her if everything else adds up. If the price is right, and all maintenance is up to date, I would gladly put my daughter in it. Yes, traction control would be nice but if she won't be driving in snow much, it's not a deal breaker. Put some good studded winter tires on it and it will be fine. I purchased my 2005 with 131k miles on it in 2018 and I now have 178k miles on it. I've had to replace the rear axle seal and a front wheel bearing. Both issues I noticed early on and I was able to fix them at my convenience. We just took it on a 1,000+ mile road trip with the kids, leaving a 2017 GX with 50k miles and a 2014 Wrangler with 95k miles at home. Reliability is not the issue, lack of maintenance is.