I'm married to an introvert. Over the years I've come to acknowledge, then accept, then appreciate and now admire his need for quiet time. In fact, even though I'm an extrovert I need and crave quiet time, too. (Watch this Ted Talk by Susan Cain, author of Quiet, to learn more.)
One of the things I love about the Wu-Wo tea ceremony is its mix of social time and quiet time. There is designated time and space for both. What a great blend!
When I was touring Taiwan, I had several opportunities to drink tea in silence (Wu-Wo and other times). I found it peaceful, centering and sometimes challenging. When I came home, I served tea to the DH and we sat with it in silence.
Drinking tea in the quiet is a great way to reconnect with ourselves.