APG, once a complaint has been made in a DV case (or even if no complaint is made but the police have other evidence) and the CPS are satisfied that it likely to result in conviction, they will press ahead irrespective of the views of the alleged victim in most cases.
This is largely because complainants are often persuaded to withdraw allegations or change their story, sometimes under pressure. It is a decision which is out of the complainant's hands once they have made a complaint.