Here the most obvious fear which Rumi's parents seem to have is of insecurity. In today's world we really have become more insecure with all these antisocial elements roaming about Maybe her parents were afraid of getting their daughter kidnapped, also though Ankita may not be like that, but a few friends are also not very trustable these days. The best option in this situation to go out with some elder also the friends can make the parents see that they are going to a safe place where all such fears don't .
9 3 9