I'm asking by what logic can't they??
You say they can't because Jesus was a man, and thus women can't be representatives of Jesus because they lack that quality in common.
So...
Jesus was Semitic. Does that mean all Gentiles cannot be priests?? If you answer no, then I ask: if gender, why not ethnicity??
Jesus was a Nazarene. Does that mean people with hometowns other than Nazareth cannot be priests?? If you answer no, then I ask: if gender, why not hometown??
What is the basis that you insist on this one particular quality of Jesus must be mirrored in his representatives, and why not the other qualities?? What scriptural or philosophical basis do you have to back this up??