I dont know about Delhi, but I went to Nepal recently via Mumbai Airport. And to be honest my friend, India and  some Indians are not like what U usually hear and read daily in FB pists or somethere else. Atleast I did not find any hint like that. I was treated like any other foreign passengers with respect and dignity. WIthout any double thought, I will recommend anyone to fly via India (at least for a life time experience and to remove fear and misconception). Good luck.