It is actually hard to disagree with you, unless there was some mechanism in international law where going to war against a country could imply relinquishing citizenship of that nation. But no, this country will not be "shirking" anything. If she can't find somewhere else to go she will end up back here unfortunately. However she can have no complaints if she is mercilessly hounded wherever she goes, or God forbid somebody actually murders her or her child - and if it was a member of the family of Lee Rigby, or family of one of those poor kids at that Ariana Grande concert who did it, there would be many who would sympathise.
So maybe rather than talking about this country shirking it's responsibility (which it won't do if international law demands it), you should ask this woman not to shirk her own. And her responsibility is to f*ck off and at least try to find some country who won't mind having her.
I really hope no one would sympathise if someone murdered a baby FFS.