I’m gonna guess you get push-back on this, depending on how you’ve phrased it before, because saying gender is not a construct is a strong/radical statement in the context of theory.
I imagine your point is that, for an individual, gender is not some arbitrary choice. It is very real. I agree. That is consistent with the idea of finding oneself on a dynamic gender spectra that is collectively defined; i.e., a social construct.
The people who try to deny an individual’s gender, who they are, by using social construct as a synonym for “not real,” do not understand the term and, more importantly, will always find some other reason to do so until they learn to be better people. That is, the term itself is not to blame.