The word "gynosphinx" is quite specific, referring to a mythical creature with the head of a woman and body of a lioness. However, there are a few alternatives that could be used depending on the context. One such option is the "sphinx," which typically refers to the creature with the head of a human and body of a lion. Another possibility is the "lioness-headed sphinx," which is a more descriptive variation of the gynosphinx. Lastly, "chimera" could also be used as a synonym, as it is a mythical creature with the combined features of multiple animals, including a lion, goat, and dragon.