karate

English borrowed "karate" from Japanese 空手 (karate), which was itself a respelling of an earlier Japanese form 唐手 (karate). That earlier form was an orthographic borrowing from Okinawan 唐手 (tōdī), meaning "Chinese hand."

The word began in Okinawan as "tōdī," written with characters pointing to China. Japanese borrowed the same characters as "karate" before later swapping in different characters that changed the meaning to "empty hand," while the pronunciation stayed the same.

The facts given don't support linking "karate" to any English cognate.