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This is Dr. Diego, experienced in Internal Medicine, Pulmonary and Critical Care.
I understand your concerns. Radioactive iodine trends to bind to the thyroid tissue. It could potentially cause irritation on your bladder or rectum. However the risk is low. Let me know if you have any other questions.
It's unlikely to be absorbed. Very low risk. Thyroid tissue has high affinity for iodine and usually retains most of it.
Let me know if you have any other questions. Please rate my answer.