The word "Tabby" is neither masculine nor feminine. It is just a
name given to cats who have a certain coat pattern. The masculine
usage of the word is the same as the feminine.
The word 'tabby' is both a noun and an adjective.The noun 'tabby' is a word for a cat with a striped or brindled coat; a domestic cat, usually a female; a wavy patterned watered silk or taffeta.The adjective 'tabby' describes a noun as striped or brindled, or made of or resembling tabby.