I have been socialized by my own gender. The people who have done this have been the same or different gender, or groups that may approve of only my gender or don't approve of my gender. Being socialized by my gender has hurt me and has hurt others before me, because similar to a stereotype, people seem to think or not even approach me due to what they believe or who they prefer socializing with.
I hope I helped some-- quite a confusing question! Makes you think a lot, haha