Ah, but it does say "in Christ there is neither male nor female"...
The Third Person of the Trinity took on a male human nature and selected only men as his Apostles. The bishops, the successors of the Apostles, act in the person of Christ when they dispense the Sacraments. So it is impossible for women to represent Christ as priests. Paraphrasing the previous pope, "The Church does not have the authority to make women priests."