There is no such animal described in the Bible. There are churches, but not "the Church," not "denomination."
Since independent churches have long had a problem with this, we're not going to agree, but the Church (universal) is a completely orthodox belief that is both understandable and in line with the biblical account.
Biblical Christianity didn't have anything to do with the Nicene Council. What makes you think it did?
Well, the rest of us who hold to the beautiful and unifying tenets of the historic Christian creeds that resulted from the Nicene councils would disagree.
Pick up a book, Turning Points by the incredible historian and theologian Mark Noll if you need refreshing. It's one of the best books on Christian history available.