I will just focus on what you asked - above is fairly accurate for the most part. Here is more details.
Forester, Outback, & Crosstrek. Subaru uses the cylinder on the side and not in the V pattern of most automakers, also called the "H" engine design. That is what Lectrofuel is referring to. Subaru's are reliable these days. However, having said that, the engine burning oil is a true issue. It is also true about Porche because they use the same engine design!
My parents and I have bought Subarus for a long time. Back in 2003 my parents bought their first, a Forrester. It ran great, and was turbocharged. Never had an issue except it did eventually burn oil at 80,000 miles. They sold it at 100,000 with no other problem and added oil as needed.
My dad also bought a Forrester, a 2004. It never burned oil and went 140,000 miles with no problems. In the case of both Forresters, in 2014 and in 2015 (after 11 years on each car) they turned around and bought two more Subarus - both Outbacks this time. One after four years is fine, and the three year old one burns oil.
I also own a Subaru - a 2013 Legacy. It started burning oil at 41,000 miles. I just add oil to it. Nothing else has gone wrong with it.
This matches up to this website and Consumer Reports. Subarus are generally reliable (the head gasket problem appeared on some cars, not all, and oil burning impacts about 10-15% of the cars in Consumer Reports surveys). They drive well and otherwise are fine. The question is, will your daughter monitor the oil and take care of it? If the answer is yes, the Subaru wil be very reliable. If not, steer clear.
Jeep Compass - it is a Chrysler, and their reliablity for the most part is terrible. That model in particular is very troublesome. Steer clear - Consumer Reports is very clear on that model's reliability.
Chevy Trax is made from GM South Korea, which adopted six sigma fairly well in that division back in the early 2000s. All the cars coming out of South Korea for GM are pretty reliable (includes the Encore, Trax, Sonic, and a couple of others). All I can say about that one is test drive it. It does not drive as well as the Subaru, but does not have the oil issues you mention. I am not gung ho about GM as Norm T is but I did work with them to improve their quality back in the early 2000s so I know a little about them and actually own a 12 year old Saab 9-3 that is pretty reliable with 168,000 miles I bought new, so they can and do make some good cars (not all of them). This is one of them, so take it for a test drive.
Ford Escape according to Consumer Reports has above average reliablity. Prior to 2013 they were not that great and in that case I do agree with Lectrofuel, with the 2013 redesign they are better now. No more engine and transmission issues. Those problems were fixed, and were fine from 2014 later (first year reliablity of redesigns should be avoided, I don't care what brand you are considering - even Toyota). The Escape's biggest problems are squeaks while driving and some have trouble with their electronics (hard to operate). Again, test drive this car to see if you are okay with the interface - some complain about it. Many like its performance on the road (fairly fun to drive).
Last is the Toyota Rav4. That one is a little tricky becuase it was just redesigned in 2016. In that first year (as I mentioned, first year reliablity should be avoided) there are a higher report of problems with the power equipment and electronics. If you skip that year and focus on 2014-2015 and 2017 you will be okay. The reliablity here is not Toyota's best model but it is still very good. Not a very exciting car to drive but if she likes it and can find one in her price range, a very good choice.
I know the others gave you decent advise regarding other cars so I will avoid going into that. Just wanted to give you and overview on the cars you thought might fit. Some are good, some have issues, others you should avoid. Best of luck with your decision.