As if this would not have been handled in exactly the same manner by anyone in that role, at that time. When they want to get rid of you, they suddenly decide that THEIR standard behavior is illegal, as long as it is done by the person in power at that time. It sounds like what they've done in Brazil to Dilma Rousseff. They only let her stay this long because the last person in the role was such a despicable pig of a man, that she looked like a saint next to him.
I don't like Lagarde because of her right wingish (rich man always comes out smelling like a rose) plans of action that seem to repeat the old bailout the rich, and then implement extreme cuts to government right afterward, such as in Greece. Bail out the rich boys, and then tax the hell out of the citizens and cut all of their standards of living in half. But that does not mean she behaved in any way, out of the ordinarily, standard way as the French Finance Minister. She is a neocon, and a rich woman with power. Now they want her POWER. It is that simple. There is nothing in this article that proves negligence. There may well be plenty of evidence in reality, but none in this article. Corruption by those who come from money isn't even a "thing" they can understand. They believe their actions are exactly what everyone else with the same level of riches would do, too. AND THEY'RE RIGHT.
When it is your buddy involved in a scandal, stay the hell out of it, and let the rule of law decide. That was her big mistake. She tried to help a friend, very likely at the prompting of other powerful friends. The problem is, a business tycoon never needs your help.