Embathy means in slang: N. An amalgamation of “embarrassment”, “empathy” and the words “empathy”, it refers to the unpleasant sensation that comes with the ability to imagine, understand, and feel the embarrassment of another person. Juanpablo Contreras, San Luis Sonora was the first to coin it in 1990.
(in Slang Dictionary, added by Ryker Shelton)