Being a non-Catholic it is understandable that you see this as a power struggle. You’ve been told this by those who want it to be that so they can claim their “rights” are being violated, but it’s not about power at all.
No priest has more power than a nun. Many a priest has learned the hard way that to oppoqse Mother Superior is to have his head handed to him on a plate. The Church does not regard some people as more worthy than others nor is anyone judged better than another based on his/her vocation–marriage is also a vocation in the Church.
Authority is not about power, but about responsibility. Each of us has certain responsibilities and therefore certain authority. Bishops have a great deal of responsibility, but then so does the head of a religious order, no matter if that order is a female or male order. The Church has named women Doctors of the Church and many women are our most revered saints because of their strength of character and the many good things they accomplished with their lives.
Mere power is nothing if one does nothing good with it. We Catholics admire those who do good with their abilities and their station in life no matter if they were truck drivers or prime ministers, kings and queens, or slaves and servants. Within the Body of Christ all are called to the same vocation–that of holiness and love. Whoever gains these are more powerful with God, and in the eyes of the Church, than any number of bishops who were not faithful.