They were called Christians at Antioch, acts 11:26
Jesus called it my Church Matthew 16:18
My kingdom John 18:36 and Luke 22:30
The kingdom Matthew 16:19
The kingdom of God John 3:5, Luke 22:16
So in my view the Church of Christ or the Church of God would be the only thing it could be called based on the teaching of Christ.
I also believe that both of these Churches has doctrine that is not Biblical, so does it matter what it is called?
Correction = The kingdom of heaven Matthew 16:19