When we refer to something as being "Hindu", this is unintelligent; neither is "Hindu" a Vedic word. Many small, sectarian religions have sprung up, diverting from the original Vedic principles. They are also going on as "Hindu", but they are all started within countable years, not more than 1,000 years ago. Swamiji wants to preach the oldest of the Vedic scriptures, the Bhagavad Gita. If we present the Bhagavad Gita as it is, the people of the world will accept it. But if we put something as "Hindu Mission," others may not like it.
(Letter from Mukunda, quoting Srila Prabhupada, 7 Dec 1969.)