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My wife has a charge-off on her report (she was credit checked even though she's not on the loan) and FHA specifically does not care about small charge offs like that. They list it as a debt with a 0 payment. Lender overlay maybe, if you had a ton of recent bad stuff, but no, that should not be an issue on its own.
Call up a loan officer and discuss these things. If you don't like that loan officer, find another. Rinse and repeat until you get someone that you work well with. Get a realtor, they will have lenders that have done well for them in the past.