The Word incarnate, is Jesus Christ.
Mary, a human person with a human nature, is a creature, and did not exist until she was conceived in her mother's womb, and is mortal, finite, infinitely lesser than God her Creator, and has the same nature her ancestors Adam and Eve had: a human nature.
Mary did not carry the Trinity Incarnate in her womb. (The Trinity is not incarnate.) She carried the Second Person, the Word incarnate.
One doesn't carry and give birth to a "nature". (Doctor in delivery room: "Congratulations! It's a Nature!"??!) One carries and gives birth to a Person. Since He is God --- a Divine Person --- she carried God.
That does not mean that Mary is the eternal source of the Word, or that she's older than the Word, or that she came before the Word, or that she is equal to the Word's divine nature.
It does mean that He Who always existed, in the fullness of time assumed a human nature, became flesh and was born of the Virgin Mary, by the power of the Holy Spirit. ("Behold, thou hast prepared for me a body.") She is his genetic mother, His gestational mother, His birth-mother, His legal mother, His nurturant nursing-mother, and his maternal-attachment-social-emotional mother.
In short, she's His mother.
She is His creature and His handmaid and His disciple.
He is her Son, her Baby, her Lord, her little Boy, her God, her Source, her Creator, her Savior.
Any other questions?
I never tire of explaining this.
P.S. the title "Theotokos" = "God-bearer" - "Mother of Gods" was officially approved at the Council of Ephesus, for the explicit purpose of refuting Nestorius, who (as I understand it) said that Jesus did not have a human soul and was thus neither "true Man" nor "true God," but rather He's two different persons in one body: a kind of multiple-personality disorder. The Council said, no, He is one Person.
Thus, historically, the title "Mother of God" was never intended to tell us something about Mary, but rather to tell us something about Jesus: that he is not two different persons.
Have you yet read Hebrews 10?
The really sad thing to me is that you appear not to realize that is total twisting of scripture and making up a fable fit for only pagans.
And that intent failed miserably. Because they didn't use Scripture as they should have. And because the title *mother of God* doesn't mention Jesus as the title *mother of Jesus* does.
The best thing to counter error is not creating more error by renaming Mary as *mother of God* but to simply use Scripture to teach correctly about the nature of Jesus.
. And now people are getting led into more error than ever with all the false teachings about Mary that Catholicsm has promulgated.