It's unclear. Did she lie or was it a case of mistaken identity? If it was the latter, then I can understand him being willing to accept the apology as is. If it was the former, I could understand him being willing to accept the apology if it came from her while she was in a prison serving out her time for robbing him of his life.
According to what happened, she was raped and then some months later saw Anthony Broadwater randomly on the street and thought he was the man who assaulted her and told the police. She couldn't identify him in a line up but still somehow identified him in court.