How can one deal with a Hindu person who has expressed a desire to embrace Islam but fears his family's reaction?

The point of confusion in the question is not clear, but we advise the questioner to continue inviting this man to Islam. The questioner did well by giving him pamphlets introducing Islam, for inviting to Allah is the mission of this Ummah. This is done by showing the virtues of the religion and that it is a cause for happiness in this world and the hereafter. We emphasize gentleness and good treatment, for they have a great impact on people embracing the religion of Allah. We advise calming the man and explaining that his fear might be an illusion, and that a person endures hardships for the sake of lofty goals. How much more so when the matter concerns eternal happiness? Examples can be drawn from the stories of the prophets.