Here it is in plain English.
For the husband is the head of the wife just as Christ is the head of the church, the body of which he is the Savior. Ephesians 5:23 (NRSV)
But I want you to understand that Christ is the head of every man, and the husband is the head of his wife, and God is the head of Christ. 1 Corinthians 11:3 (NRSV)
You cannot show me a verse in the New Testament that says the husband is or should be the head of the HOUSE. Neither he nor his wife care called the head of the children, or the head of the slaves. Yet clearly they are in authority over both the children and the slaves.
I don't think "head" is a reference to authority.
It absolutely cannot mean authority as then the verse would literally mean that God has authority over Christ and we know for a fact that it's not true. While Jesus very temporarily gave authority to the Father while incarnated on earth, this verse is talking about Christ, not just Jesus the man, and Jesus the Christ IS God with all the same authority and all the same essence as God. (Being that "Christ" is a title and not a last name.)
However, Christ (being God) was there at creation and was the beginning of all humankind, and Christ is also the beginning of the church. The man (the Adam which can also means humankind) was the first, and the woman was created from his body, so the man is simply the first human at the beginning of creation and all of the rest of humanity came from this first human with God/Christ as the originator.
There is nothing about authority at all. If Paul had intended "head" to have anything to do with authority or rulership in this verse, he would have used
αρχή, but he didn't. He used a word that simply references a body part for an analogy in teaching Gentiles about Christ. Paul wants to ensure and emphasize that people know that Jesus wasn't just a great man, but that he IS God, especially as the denial of Christ's divinity was one of the big issues in these churches.
However, there are those who make every attempt to lessen Paul's gospel message to making it about how nuclear families (which didn't even exist in the first century) need to be set up in order to promote a social agenda of male power and superiority. They absolutely cannot conceive that God's Kingdom isn't about power and superiority and beating some people down in order to raise other people up. (But all the name of "love" of course.)