What do you mean by "gums are horrible?" Please explain what's going on with details.
It could be that you're saturated with iodine/iodide and it's being secreted through your mouth in excess. It can create a pro-oxidant environment and cause gum problems, or other tissue irritation in the body.
What else are you doing besides the lugols? Type of oral care? Can you list any important details? Diet? What do you eat on a daily basis?
Age, weight, sex, medical history, and oral medical history?