We hypos should avoid iodine/kelp supplements, especially if Hashi's is present. Iodine solution used to be used to treat hypERthyroidism before the current radioactive iodine treatment, so it could very well make your hypothyroidism worse.
You could always test to see if you are iodine deficient, if you wish to then do a non-loading urine iodine test from Genova Diagnostics.
Iodine is easily available from the UK diet - milk, yogurt, white fish, scampi, etc. It's unusual to be iodine deficient in the UK.
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