I'd have no problem with women priests, bishops, cardinals, or popes as long as they are theologically orthodox/conservative.
Over history, I could have happily endorsed:
Our Blessed Mother
St. Sister Theresa of Avila
St. Sister Clare of Assisi
Mother Teresa of Calcutta
Mother Mary Angelica Rizzo, Irondale, Alabama (Foundress, EWTN) 
Sister Pasqualina  (Pope Pius XII's assistant)
Phyllis Schlafly
Claire Boothe Luce
Peggy Noonan
My Mother
And many others.
:-)
True story: I remember telling my mom that I'd love for her to become a priest.  She nixed the idea.  She said that women like her were happy to be wives and mothers, and that only left-wing, power-hungry feminists would be the ones seeking the priesthood, and for that the reason she didn't want women ordained.