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You can contact Direct Loans with a goodwill letter and see if they will adjust the reporting. I would not count on being able to get this late removed, people seem to have very different experiences with getting lates removed on student loans, and it can take a while or never happen at all.
In the meantime, why don't you set up auto-pay? You can use that in your letter to establish that it won't happen again, and it will give you one less thing to keep track of as you get settled and start the home buying process.