Ferritin 57.8(20 -150)
People with thyroid problems have found that they feel best with a ferritin (iron stores) level of at least 70 (when the reference goes up to 150) and preferably mid-range or a little bit over. Your daughter's result isn't too bad compared to some results we get on here, so aggressive supplementation shouldn't be required to get her level up a bit. If your daughter eats meat then eating liver once or twice a week might be all that is required.
If she doesn't eat meat then she could supplement with ferrous bisglycinate or iron bisglycinate, or for faster results, ferrous fumarate 210mg taken once or twice per day, each dose of iron taken with 500mg - 1000mg vitamin C. Once someone starts supplementing iron in therapeutic doses it becomes absolutely essential to keep tabs on levels because iron is poisonous in overdose. You can do that with this finger-prick test :
For info on optimal levels : rt3-adrenals.org/Iron_test_...
Folate 45.4(8.83 -60.8)
Folate is fine.
B12 is fine.
Vit D - deficiency 41(25-175)
This is a bit low. The optimum level for most people is round about 100 (although some people go higher). To raise to that level a dose of vitamin D3 (not D2) of 4000 iU - 5000 iU per day would be required, and supplements are easily sourced online. Vitamin D3 increases the absorption of calcium in the diet. Calcium needs to go into bones and teeth. To make that happen it is also necessary to supplement magnesium and vitamin K2 MK7. Search the forum for info on this. It's been mentioned lots of times.
Re-test vitamin D in about 3 months time. Vitamin D is a nutrient which can become toxic at levels which are too high, so keeping tabs on it is essential. To test with a finger-prick test privately :
Tsh 3.84(0.27-4.20 - gone up from 2.1
T4 total 92.8(64.5-142)
Free t4 14.62(12-22)
Free t3 4.53(3.1 -6.8)
Anti thyroidperoxibase abs 24.4 (<34)
Anti thyroglobulin abs 18 (<115)
Your daughter appears to be heading for hypothyroidism, and in some parts of the world she would be treated, but sadly not in the UK.
When people are hypothyroid, and treated for it, they usually feel best with Free T4 and Free T3 in the top third of the reference range, but it does vary. Some people just need levels that are mid-range or above. Getting the level of Free T3 right is more crucial than Free T4 in eliminating symptoms. Going over range should be avoided.
Sadly for patients, doctors ignore symptoms and levels of thyroid hormones and concentrate solely on the TSH (which is a pituitary hormone not a thyroid hormone). Once your daughter starts treatment she will probably need her TSH to be 1 or below to feel well, but doctors often think this is too low and reduce dose. Once your daughter is 18 she can self-treat if necessary. But before then it is a very, very bad idea for parents to top-up the dose or change the thyroid meds for a child. A woman was arrested and put on trial for this just a year or two ago, accused of poisoning her daughter.
At the moment your daughter's antibodies don't suggest she has autoimmune hypothyroidism (which is the UK name). In the US it is referred to as Hashimoto's Thyroiditis. But antibodies do fluctuate, and I would say the TPO antibodies are high enough in range to suggest it could well be positive eventually.
Anyone with autoimmune hypothyroidism might find they minimise their antibodies and feel better with a 100% gluten-free diet. Some people need to give up animal milk products. Some need to go on low-histamine diets, and some people give up nightshades. Giving up gluten works for many. (I've done it, but I've never tried the other things I listed.) Taking a selenium supplement helps to keep antibodies low too.