The alleged incident – which Cox contends was consensual sex and not rape – took place in January.
His lawyers unsuccessfully applied for an injunction on his name being released due to his affluent background and career.
Cox’s barrister Graham Turnbull said in a committal hearing that there were “’inconsistencies” in the statement made to police by his alleged victim, who is from Bermuda.
Turnbull argued there was a reasonable chance the charge would be dismissed.
Magistrate Greg Walsh told the court the “Crown case is not without strength” and that Cox would get a fair trial.
Cox, from Somerset, is said to be a jet-setter who runs a firm which offers loans to people with poor credit ratings.
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