A mother by definition precedes her child and at some point is more powerful than her child. So to call Mary the mother of God gives the misleading implication that Mary preceded and at one time was more powerful than the Lord God Almighty. Although Catholic doctrine tries to deny this implication, it is inescapable.
https://gotquestions.org/Mary-mother-God-theotokos.html
Catholics understand the title of "Mother of God" as only applying to the person of Jesus and not to the entire Trinity. No Catholic declares that Mary is the mother of the Trinity or the mother of the divinity of Jesus. Why will you not accept what we mean by the title when we use it?
You say: A mother, by definition, PRECEDES her child...
FALSE: A mother, by definition, provides the ovum, gestates, and gives birth to her child.
Mary provided the ovum, gestated, and gave birth to Jesus Christ, so that hem the Second Person of the Trinity, could live in the world as man.
Because Jesus Christ is God, the Second Person of the Trinity, Mary is called “the Mother of God,” precisely as Mary is the mother of a carpenter, the mother of a Jew, the mother of a preacher, etc.
Because Jesus Christ is not God the Father, Mary is not the Mother of God the Father. Because Jesus Christ is not the Holy Spirit, Mary is not the Mother of the Holy Spirit. Because Jesus Christ is not the Trinity, Mary is not the Mother of the Trinity.
Because Jesus Christ is God, Mary is the Mother of God. She became the Mother of God IN TIME, at the moment when the eternal Word became flesh in her womb.