She's broken because she believed.
He's ok because he lied.
This is astereotype that defines male homo-sapiens as devious, and female homo-sapiens as gullible fools.
The Big Lie is a propaganda technique whose invention is often falsely credited to Adolf Hitler (Hitler was not advocating the use of this technique but was in fact accusing Jews and Marxists of using it).
The basic idea is that the bigger a lie you tell, the more likely people will be to believe it, since it's difficult for them to accept that someone could tell a lie that huge with a straight face.