I think that I don't understand what you mean by "the elephant", could you explain?
I'm not sure if that phrase is used in British English or not. I assume he is referring to this:
"The term refers to a question, problem, solution, or controversial issue which is obvious to everyone who knows about the situation, but which is deliberately ignored because to do otherwise would cause great embarrassment, or trigger arguments or is simply taboo. The idiom can imply a value judgment that the issue ought to be discussed openly, or it can simply be an acknowledgment that the issue is there and not going to go away by itself."