Police said the assault is alleged to have happened in London last September, and they are reviewing the evidence.
BBC Studios said it had "robust processes in place" for supporting staff or freelancers who may have been victims of crime.
In a statement, City of London Police said: "On Sunday 19 September 2021, City of London Police was contacted by another police force, which had received a late report of a rape that took place in September 2021.
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