Hello and welcome – wow, that has to be incredibly frustrating to go through at 17. Graves’ *can* recur after thyroidectomy or RAI if there is living tissue left behind. This is a case study that appears really similar to your situation – where the surgeon specifically made the decision to leave a tiny amount of tissue behind in order to avoid laryngeal nerve injury.
We are fellow patients here, so can’t tell you which choice to make, although hopefully, others who have had a similar experience will chime in. You might also check out our groups on Facebook (search for @GDATF and then click “Join Group” in the top right-hand corner) or on oneGRAVESvoice.com – as those forums tend to be more active than this one.