I have been reading and I also conducted a poll in this forum (To Soy or Not to Soy?) on soy/
gluten free diet. If your daughter is not soy/gluten free, it will also impact her T4 absorption. I do feel better without soy or gluten.
Also, make sure she's taking her vitamins. We Hashi's tend to lose our vitamins fast, especially the D and B12. For the bloating, give her Cirtrucel drink mix to help her go to the bathroom more. We hypos have constipation issues.