The problem is if she needs them, she needs them and won't be able to function properly without if her own body is not making enough. Unlike some meds, thyroid replacement is literally only replacing hormones that our bodies are no longer producing enough of. If you get her blood test results before and after the meds and post them with info such as dosage she's been put on, people here can give better advice.
If she has not had any follow up blood tests, then this is negligent of the doctor and she needs a new GP!
Some people have issues with certain brands of levo - the one mentioned most is Teva?
You might also want to get her thyroid antibodies and T3 levels checked for a more in depth look if not already undertaken. If the doc refuses, you can pay for your own.
Also, I've known quite a few people who's deficiencies seemed to get worse and show up once they had started thyroid replacement so it might be worth getting Iron, Vit B12, Vit D and folate checked also as many of us are deficient in these and can cause a whole heap of symptoms.
Does your daughter have any stomach/digestive issues?