A TSH of 12 is high for sure, but it is nothing to panic over. YOur original posts makes it sound like this is imminent danger. It generally is not.
I would be willing to bet your wife has a lot of symptoms and will improve if givent the proper dose of mediication.
Please as stated above provide a list of her symptoms.
By the way. The T4 and T3 tests appear to be "total hormone" and not the "Free Hormone". If so, they are obsolete and of little value.
You really need to be tested for Free T4 and Free T3.
TSH is a pituitary hormone, not a thyroid hormone. TSH is supposed to accurately reflect thyroid status; however, it cannot be shown to correlate well with either of the actual biologically active thyroid hormones, FreeT4 and Free T3, much less correlate well with symptoms. At best TSH is only an indicator to be considered along with more important indicators such as symptoms and also levels of Free T4 and Free T3. That said, when TSH is over 10 that is a good indication of primary hypothyroidism, Hashimoto's Thyroiditis. With Hashi's the autoimmune system erroneously identifies the thyroid gland as foreign to the body and produces antibodies to attack and eventually destroy the gland. As this proceeds, increasing doses of thyroid medication is required to replace the reduced output of thyroid hormone from the gland.
So the first thing we should do is get you to tell us about any symptoms your wife is having. Also, please post the reference ranges shown on the lab report for those test results.