Allergy to iodine containing antiseptics like Betadine can occur at any time. Some people develop reactions after repeated exposures.
The only way to test this is to apply some of the "brown stuff" to another skin area and see if it gets red also. If not, then I'd consider infection. Infections typically get HOT. (hotter than an allergic reaction). Allergies are confined to the skin, and infections go deeper and create more inflammation which is HOT and may throb.
If you rub on some Benadryl lotion, it may help if allergic.
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Weezie looking at petunias 8.25.2017
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