The term SATYR'S KIN is solved by the crossword answer FAUN, which is a four-letter word. A FAUN is a mythological creature from Roman and Greek mythology, often depicted as a human with the legs and horns of a goat. Fauns are closely associated with satyrs, who are also mythological creatures with the upper body of a human and the lower body of a goat. Satyrs are known for their mischievous behavior and love of wine and music.