The word for this definition of "Catholic" is "Protestant."

Feminist Catholic Mary Hunt is apparently interested in a kind of copyright infringement by appropriating the name Catholic:

The crux of the matter, as it were, is that most of the nuns, like many Catholics, have matured beyond the Vatican’s imaginings. The notion that postmodern Catholics assent to “the doctrine of the faith that has been revealed by God in Jesus Christ, presented in written form in the divinely inspired Scriptures, and handed on in the Apostolic Tradition under the guidance of the Church’s Magisterium,” (or, simply, the fathers know best) is simply ludicrous. As one observer asked me, “What Bible do they read?”

The truth is, most Catholics no longer look to Rome for guidance on our personal lives, or anyone else’s. Nor do we live within the narrow confines of a cultic Christianity, or, as women, accept male leadership and priestly ministry as if theirs were God-given and ours were not. We appreciate the complexity of these matters and strive to create forums in which to listen, discuss, discern, and pray.

In short, our ways of being are as different from the Vatican’s as are our views.

If hierarchy and tradition and truth revealed in the Scriptures and from Apostolic Tradition is so offensive, there are lots of churches that don't have those things.