During the Xenoblade Chronicles 2 streams, Joe started dropping his controller whenever something unbelievably bad happened in the game.[1] Then in one game which he was playing with a keyboard and mouse instead of a controller, he had no controller to drop when he wanted to, so instead he decided to loudly take a sip of his tea.

This is a Joeism
When Joe says this, it's not a reference to any stream. It's just something he says sometimes.
By Maddison Baek

This is represented by the emote jphAngrySip.

References