I cut my self with a rusted chain

I cut myself with a rusted chain from my bake, the cut is very superficial, almost like a scratch. Is it enough to just apply hydrogen peroxide? please help or direct me to someone who knows, I don't want to go to a doctor unless necessary I don't have insurance
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Thank you everyone for your advice, let me follow up though, how long should I wait until I go to the swimming pool? could it get infected there?
I cut my self with a rusted chain
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