Diet is a big deal with Hashimoto's. Almost all people with Hashimoto's have food sensitivities/allergies. Along with the food issues comes a damaged GI system and the inability to adequately absorb nutrients/vitamins from our foods so getting tested for deficiencies (esp Vit D, Vit B12, folate-not folic acid, magnesium, iron,etc) is very important and supplementing where necessary.
Although acupuncture will not cure your Hashimoto's it is a GREAT stress reliever which is very important wheen your body is under so much stress.