I don't want peace that passeth understanding, I want understanding which bringeth peace.

She's basically evaluating how the peace process is moving forward.

And verily, a woman need know but one man well, in order to understand all men; whereas a man may know all women and understand not one of them.

Peace is a flawed logic. They believe that communication and understanding will create peace. However, just because you know and understand the nature of something or someone, does not mean that you will come to terms.

Fights between individuals, as well as governments and nations, invariably result from misunderstandings in the broadest interpretation of this term. Misunderstandings are always caused by the inability of appreciating one another's point of view. This again is due to the ignorance of those concerned, not so much in their own, as in their mutual fields. The peril of a clash is aggravated by a more or less predominant sense of combativeness, posed by every human being. To resist this inherent fighting tendency the best way is to dispel ignorance of the doings of others by a systematic spread of general knowledge. With this object in view, it is most important to aid exchange of thought and intercourse.

There is no peace when your child and sister has been taken from you at the hands of a brutal murderer.