If God had ordained male headship, he would have sent the angel to Joseph to tell him that he would be the father of his Son instead of sending the angel to Mary first. Then Mary's father would be told. Mary would have been the last to know - if male headship had been God's plan.
I probably am not the intended audience, but for this to make any sense at all, it seems to that you need to be doubly misguided: believing that God ordained male headship and that the Bible accurately depicts God’s ways, otherwise supposedly inscrutable. Even among Christians, the latter isn’t necessarily concommitant with the former. What’s the expected target audience size?