Absolutely. That does not mean she is the mother of the uncreated deity. Christ was not conceived He was incarnated. she is the mother of His human side only. Christ existed long before Mary and created her. Calling her mother of God attempts to elevate Mary above God and diminish Gods eternal nature. I will do neither
It is the Logos, the uncreated Eternal Word who became incarnate.
Jesus, being man, has a beginning. There was a time when Jesus did not exist, namely, before the Incarnation. There was never a time when the Eternal Son of the Father did not exist.
Jesus is therefore a divine person with a human nature. In Jesus the divine and human natures:
"We confess, therefore, our Lord Jesus Christ, the Only Begotten Son of God, perfect God, and perfect Man of a reasonable soul and flesh consisting; begotten before the ages of the Father according to his Divinity, and in the last days, for us and for our salvation, of Mary the Virgin according to his humanity, of the same substance with his Father according to his Divinity, and of the same substance with us according to his humanity; for there became a union of two natures. Wherefore we confess one Christ, one Son, one Lord. According to this understanding of this unmixed union, we confess the holy Virgin to be Mother of God; because God the Word was incarnate and became Man, and from this conception he united the temple taken from her with himself."
No one has ever suggested that Mary is the source of the divine nature in Jesus. What the Church has always believed is that because there was never a time that the Holy One conceived in the womb of the Virgin was not God, and since in that Holy One the human and divine natures are inextricably united without confusion or annihilation, there is no way that Mary could have carried and given birth to one who was not always the Son of God -- as Galatians 4:4 testifies.
To say that Mary is not the Mother of God is to say that in Jesus the divine and human natures are not truly united. To say that Mary is not the Mother of God is to say that God did not suffer and die on the Cross. It makes a hoax of the entire atonement.
We call Mary the mother of God because she’s His mom.
The idea that being born of a woman could somehow diminish God the Son or elevate the mother above God the Son is just wrong. It sounds like some hangover from Greek mythology.
However God being born of a woman DOES elevate humanity into kinship with God. The Incarnation elevates us all - very high indeed!