You're very close. It all depends on how you are using that little word "as" both times. Mary did not give to the Logos His divine nature. But she did give to the Logos His human nature, His human beginning. She is the Mother of the Logos (and hence the Mother of God) because she gave birth to the Logos according to His human nature.
-A8
If your concern is whether or not I believe Jesus was God at conception - He was. And before then.
Saying she gave him his beginning as man, I can partially agree with (in that she didn't do it alone. Only God could have performed this miracle. He used Mary's body to do so, and she was humbled that he would choose her).
I just dislike the term mother of God, because of what it implies on the surface. Theology can be difficult to grasp at times, without using terms that need to be carefully qualified in order to be understood properly. Mother of God is not the only confusing term that is used. But it would be just as easy to call her Mother of Christ or Mother of the Son of God. Or even to a point Mother of the God-Man Jesus Christ. Mother of God implies she preexisted God and is just an innecessarily confusing term. IMHO