She has this supposed special access because she gave birth to the Son of God. Yet, the Lord Jesus Himself revealed that Mary has no greater access to Him than anyone else who does the will of God. And the multitude sat about him, and they said unto him, Behold, thy mother and thy brethren without seek for thee. For whosoever shall do the will of God, the same is my brother, and my sister, and mother. This thoroughly destroys the tradition of devils and men that the Roman Catholic Church has dreamed up about Mary having some supposed special access to Jesus.
Catholics do believe that the mother-son relationship remains as a hallmark of the incarnation.
However, there can be no competition with the will of Christ. Sometimes various devotions, not all approved by the Church, have blurred this fact. For instance, Mary does not literally hold back the vengeful arm of her Son. The very definition of a saint, of holiness itself, implies putting on the mind of Christ. What Jesus wants, Mary wants.