"Woman" is a socially constructed category and "women" have nothing intrinsic in common, other than viewing themselves as whatever "woman" is defined as in their society, or being judged by the standards of whatever "woman" is defined as in their society. Gender is as "real" of a category as race or neurotype, which is to say, it's not objectively real at all. It's an artificial category created on the basis of perceived shared traits among certain people. The people came first, they were grouped into their artificial category later. There are no intrinsic differences between men or women or nonbinary or multigender people.

Do you actually believe gender is a social construct or are you just mindlessly repeating the phrase because it sounds cool

Watching the queer way of interacting with gender go from "Gender is a social construct that can be fun to play with but at heart is a dangerous toy because it has been used for generations to oppress and divide people." To "Everyone has a perfect crystal of true gender which you must deeply introspect to discover, and you can be wrong about its nature." Has been a disaster.