* γυνή (gynḗ): This is the most straightforward word for "woman." While not explicitly "non-man," it's the most common antonym.
* ἄνθρωπος θῆλυς (ánthrōpos thêlys): This literally means "female human," a more descriptive and neutral option than simply "woman."
* ἄλλος (allos): This means "other" or "another," and could be used in the context of "another than man," but would be quite vague without further clarification.
* θηλυκός (thēlukós): This adjective means "female," and could be used to modify a noun, for instance, θηλυκὸν ζῷον (thēlukòn zôion) meaning "female animal."
* οὐκ ἀνήρ (ouk anḗr): This literally translates to "not a man," but is grammatically clunky and might sound unnatural in many contexts.
To choose the best term, consider what kind of "non-man" you're referring to. Are you talking about women, animals, gods, or something else entirely? The appropriate Greek term will vary considerably depending on the intended meaning.