It looks like your wife definitely has Graves Disease, as evidenced by the TSI (Thyroid Stimulating Immunoglobulin), which is the definitive test for Graves Disease. It's not unusual to have slightly elevated TPOab with Graves, as well, but the elevated TgAb could indicate that she also has Hashimoto's. It's pretty rare to have both, but certainly not impossible.
Although her Free T4 is higher than is normally recommended (72% of range), her levels aren't what would, normally, be considered terribly hyper. That said, higher than necessary thyroid hormones can cause fewer or lighter periods.
Both Graves Disease and Hashimoto's are autoimmune diseases. Once we have them, we have them for life, so neither of them will go away in 6 weeks. That said, treatment will depend on your wife's actual thyroid hormone status, which will be the Free T4 and Free T3 levels, not the TSH... If the doctor starts anti-thyroid medication, based only on the TSH level, to bring it back up, the Free T4 and Free T3 levels will driven down to hypothyroid status, which is just as bad as hyper.
Recommended level for Free T4 is approximately mid range and recommended level for Free T3 is upper half to upper third of its range. Free T3 should be higher in its range than Free T4 in its range.
Free T3 is the hormone used by individual cells, while Free T4 is a "storage hormone" and must be converted to the active Free T3.
TSH neither causes, nor alleviates any symptoms; it's merely a messenger from the pituitary that stimulates the thyroid. Right now, your wife's thyroid does not need stimulation, so TSH production has ceased... I agree that levels should be retested in 6 weeks (or sooner if new symptoms appear).
It's important to note that when one has, both, Hashimoto's and Graves Disease, either can be dominant at any given time. Also important is that with Hashimoto's, one can swing from back and forth, from hyper to hypo before finally settling into permanent hypo, so one must be monitored carefully, by a doctor who is diligent in watching Free T4 and Free T3 levels, not just TSH.
Since it was an Ob/Gyn that tested your wife's levels last, at the risk of being nosy, I'd wonder if your wife might be trying to conceive.