Is that a test result for TSH? Were any other tests done? If so, please post results and reference ranges shown on the lab report. Even more important, what symptoms, if any, does she have?
No need to be so nervous. Likely your Mom is hypothyroid, due to the most common cause for diagnosed hypothyroidism, which is Hashimoto's Thyroiditis. With Hashi's the body erroneously identifies the thyroid gland as foreign to the body and produces antibodies to attack and eventually destroy the gland. As this proceeds, the output of thyroid hormone drops and the pituitary produces higher levels of TSH in an attempt to stimulate more thyroid hormone output. Hypothyroidism is very common problem and can be effectively treated with thyroid medication as needed to relieve symptoms.
Assuming all this to be the case, the most important thing for your Mom will be to have a good thyroid doctor who will treat her clinically by testing and adjusting the biologically active thyroid hormones, Free T4 and Free T3 (not the same as Total T4 and Total T3), as needed to relieve hypothyroid symptoms, without being constrained by resultant TSH levels. Symptom relief should be all important, not just test results, and especially not TSH results. You can get some good info from this link written by a good thyroid doctor.
http://www.hormonerestoration.com/Thyroid.html
So your mother will need to make sure she is always tested for both Free T4 and Free T3 each time she goes in for tests. She also needs to find out if the doctor is going to be willing to treat clinically, as described above, rather than just by test results. If not, then she will need to find a doctor that will do so.
Since hypo patients are so frequently low in the ranges for Vitamin D, B12 and ferritin, I also suggest that she get those tested and then supplement as needed to optimize. D should be about 55, B12 in the upper end of its range, and ferritin should be about 70.