When I had my molar tooth pulled nearly 3 months ago, I found that taking antibiotics and OP'ing at the same time (before eating) upset my stomach and made me even more nauseous. I had to take my medication with food and then wait about 30-45 minutes before pulling.
When you have the time, visit the Iodine Support Form. Do a search on Hypothyroidism. You may be iodine-deficient.
What type of oil are you using. Sunflower Oil and Sesame Seed Oil are the most recommended. I'm using sunflower, although I'm switching back to Coconut Oil.
I suggest trying CO when you've been OP'ing for at least a month (maybe two). I started out using olive oil and later switched to soybean (but started using sunflower recently).