Supervene means occur as an interruption or change to an existing situation, to follow as an unexpected development
Ex: he had appendicitis and as complications supervened, refrained from work for months
Intervene means take part in something so as to prevent or alter a result or course of events.
Ex: he acted outside his authority when he intervened in the dispute
Overreach means reach out too far.
Ex: never lean sideways from a ladder or overreach
Displace means take over the place, position, or role of.
Ex: he believes that books may be displaced by the electronic word
Follow means go or come after (a person or thing proceeding ahead); move or travel behind.
Ex: she went back into the house, and Ben followed her
Thus option (D) is the correct choice.