Calling all the faults, and then some, should only improve his chances!
The last suggestion, of calling out all the faults, is precisely right, but not at all for the reason exposed by Dear Economist. Our referee should indeed call all the fouls, perhaps even those where he is only 49% sure, since by doing so he will only be creating what in the real world is known as bargaining power, and which by the way is something quite similar to what this female player derives from her looks.