How do you make a smokey tea?

Answer 1

Well, YOU can't make a smoky tea, it's done when they cure the leaves.

When the tea is harvested, the leaves are graded for quality. The poorest leaves are placed in a big bamboo basket and dried over a smoldering fire, which gives them some flavor.

Answer 2

Basically

make a normal cuppa then smoke a cigarette then blow smoke into mug, and there you go!