You can take aloe vera juice minimum after 1 hour of taking thyroid medicines. Alovera juice contains maximum rare micronutrients those we are not taking in our regular basis. So it will help to provide you those micronutrients which are required for various purposes for healthy body metabolism. Not only alovera all the natural herbal nutritional cum medicinal stuffs like amla, turmeric, jamun, etc etc all have beneficial for our body. Regarding your thyroid problem how much they will help that can not be told, but yes that will be helpful as whole for your body. So you can take it with your normal medications. Thank you.