38 From these considerations, the proof develops on these lines: if Mary, in taking an active part in the work of salvation, was, by God's design, associated with Jesus Christ, the source of salvation itself, in a manner comparable to that in which Eve was associated with Adam, the source of death, so that it may be stated that the work of our salvation was accomplished by a kind of "recapitulation," in which a virgin was instrumental in the salvation of the human race, just as a virgin had been closely associated with its death; if, moreover, it can likewise be stated that this glorious Lady had been chosen Mother of Christ "in order that she might become a partner in the redemption of the human race"; and if, in truth, "it was she who, free of the stain of actual and original sin, and ever most closely bound to her Son, on Golgotha offered that Son to the Eternal Father together with the complete sacrifice of her maternal rights and maternal love, like a new Eve, for all the sons of Adam, stained as they were by his lamentable fall," then it may be legitimately concluded that as Christ, the new Adam, must be called a King not merely because He is Son of God, but also because He is our Redeemer, so, analogously, the Most Blessed Virgin is queen not only because she is Mother of God, but also because, as the new Eve, she was associated with the new Adam.
Source: Ad Caeli Reginam (Vatican.va)