They trust that God has the answer
Since the most fundamental claim of xtianity is contradicted by objective reality what basis could there be for claiming that the god of Jesus exists?
You are putting the dilemma arse-backwards.
First present evidence that the god of Jesus - the god who is love - exists then and only then you can address the problem of natural evil.
Since there is no evidence for the god of Jesus and the facts of reality contradict the most fundamental claims about this god, you are left with nothing.
Or maybe orphaned children of the tsunami just take themselves too seriously.