Hello.....
Homoeopathy can definitely treat Hashimoto/ Hypothroidism.....
This will need a indepth consultation...getting details abt the start & progress of the disease, abt your Nature, Temperament, Cravings/Aversions, Sleep pattern....Dreams, etc...which will help give the right medicine...So consult some Good Homoeopath Nearby....
Health Tips
Pranayam....Bhramari & Ujjaini....are very helpful