Suffering from hypothyroidism can have a large impact on your diet, leading to an increased risk of obesity, blood sugar and blood pressure problems, and poor stamina. Consuming foods that are high in iodine and selenium are recommended warding of growing risks to other health conditions. Some of the best foods to choose from are sushi, seaweeds and seafood, saltwater fish, iodized salt, and Celtic sea salt. Additionally, consuming meat, chicken, tuna, nuts, garlic, onions, and sea vegetables will help with selenium consumption.