The answer to the crossword for the term 'Cousin of an Obie' is TONY, which stands for Theatre Owners of New York. This organization was founded in 1945 and is a non-profit trade association that represents the interests of Broadway theatre owners and producers. The Obie Awards are presented annually by the American Theatre Wing and The Village Voice newspaper to recognize excellence in Off-Broadway and Off-Off-Broadway theatre. The TONY Awards, which are presented by the same organizations, are the equivalent of the Obie Awards but for Broadway productions.