title_body: Yemenite tea-like coffee?
upvoted_answer: It sounds like you had coffee cherry tea, also called cascara, and regionally other names; in Yemen it seems to be called qishr according to Wikipedia. 
  
  It's (to me) delicious, but rather different than roasted, brewed coffee beans. It has a lovely red hue, similar to rooibos but lighter. 
  
  It's made by infusing the dried coffee cherries or just the husks (as you described in the question). It is steeped like an herbal tea, in hot water just off the boil. This article says that it can be brewed using cold-brew techniques also. I've only had it cold/iced or lukewarm, but it is probably lovely hot also.