In Kompagnistræde - a cozy street in the heart of Copenhagen's Latin Quarter is a cafe, which specializes in tea. A Japanese/Danish teahouse, it calls itself, so English afternoon tea is not available here.
Sings specialty is highly prized green teas imported directly from Japan, but you can both get sharp black and delicate white teas as well.
Besides lunch you can have cake and snacks to your tea.
1208 København K