The FBI director was appointed by Bush.
Yes. But obviously he the FBI director did not inform the House Republicans of the investigation or the affair. So by Cantor going to the director to let him know what he knew it went up the chain of command to Obama and there went Petraeus. I think Petraeus would have testified before the House, that is until word got out the Republicans know about your affair.
But Muller got caught lying once before regarding a female agent.