The priesthood is not just something you are inspired to seek. It is also an office in the community, and so the community MUST call you to it. Hence at ordinations the bishop seeks the approval of the community, and before that there is extensive preparation and inquiry to see if the candidate is truly suitable. As noted, the Church does not feel that we have the power to call women to be priests and still be faithful to the tradition we have received from God.
We do have a place for those inspired to seek God more closely–more the prophetic or charismatic role described above. We call them religious, in a wide variety of associations and vows or promises. And–lo and behold!–we have both women and men religious! Imagine that: those inspired to promise themselves to God can be of either gender!
Consider also the Old Testament: The priesthood (whether Aaronic or Levitical) was exclusively male, while prophets were both male and female–Miriam, Deborah, and Hulda are three who come readily to mind.
Perhaps it is because we too often see the sacramental priesthood in terms of privilege and honor that not allowing women to receive it seems discriminatory. But it is really a call to serve, not to be served. The priest is to take the place of Christ for the Church, which includes laying down his life for the faithful.
Also, in fact women and men are called to a true priesthood: the priesthood of the baptized, wherein every member of the Body of Christ is called to speak the Word of God, sanctify, and properly order the world by their life, while the sacramental priesthood is to provide similar service to the Body of Christ. By their baptism and confirmation, they are already priests of Christ. If they are married, by their vows they are already priests of the domestic church of their family.