Will the atkins diet help you to lose weight if you have an underactive thyroid?

I recently found out my thyroid is underactive and that is why I have struggled with my weight for so long. Does anyone know if the atkins diet will work with and underactive thyroid? I am already on meds for my thyroid and it seems to be normal at times when they check it and others off a little. I have only had blood work done twice though.