Simple, we are all part of the trial of mortal probation, God is not. He is the orchestrator of this whole show. He has both the wisdom and the right to decide if He is going to intervene in something and if He does you can be sure He will not interfere with anyone’s free agency and that such intervention will be calculated for the best outcome in the long run. Every decision He makes is the right one in every degree, from the smallest to the greatest. Remember, in the midst of all the screwing up we do along with all the natural calamities that befall mankind, His matchless power and mercy are over all mankind to give those affected by such trials the strength and comfort to bear them with dignity and honor, the neighbor has none of those things. Remember this also, God knows that there will be hard trials and so we are all given the commandment to, within the scope of our ability, to bear on another's burden and to comfort those in need.
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Of course we all have the responsibility to stop the pain and suffering (most, including myself and hopefully the neighbor you speak of, also has the extreme desire to do so) of those around us if we can, it is even a commandment from God that we seek to do it, but it is also a reality that such things will happen and to blame god as being uncaring or to turn away from Him in times of trials is to strip oneself of the greatest power there is to help successfully navigate the waters of mortality from the time birth brings us into this world until the veil opens up to reclaim us back to whence we came, whenever, however, or however long that may be.