I realize this answer is very late ... but may help someone in future.
I could find no contraindication between taking Motrin and lack of iodine.
Motrin (ibuprofen) is a nonsteroidal anti-inflammatory drug (NSAID). It works by reducing hormones that cause inflammation and pain in the body.
Motrin is used to reduce fever and treat pain or inflammation caused by many conditions such as headache, toothache, back pain, arthritis, menstrual cramps, or minor injury.
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