She discerned that Hillary was not a true friend. The actor's perception of his character's motives enabled him to play the role convincingly. The journalist's penetration led him to conclude that the criminal's icy demeanor hid a frightened young woman. Political acumen guarantees success with a fickle electorate. The judge's discrimination resulted from years of wine tasting.
Insight involves deep discernment and sympathy.
From her hospital volunteer work, she gained insight into the concerns of the terminally ill patient. Thus, one can see that the other mental processes involved in one's gaining insight include acumen and discrimination for the formation of a total picture of a situation.