My Webster's has 1. SEX. 2. any two or more classes of words (as nouns or pronouns) or of forms of words (as adjectives) that are usually partly based on sex and that determine agreement with other words of grammatical forms.
Gendered does not appear.
IIRC, the grammatical meaning was the only one until the 1920's when the word was used by someone-or-other to denote the cultural aspects of what was until then lumped together as sex. Since then, the 'secondary' meaning has taken over and is now the primary. So goes the world.