"The one who conquers and who keeps my works until the end, to him I will give authority over the nations, and he will rule them with a Rod of Iron, as when earthen pots are broken in pieces, even as I myself have received authority from my Father. And I will give him the morning star." – Revelation 2:26-28 (ESV)
Systematic Theology: Lesson 24, Part 22: The Doctrine of the Trinity (55:53)
There are dangers accompanying the subjection of the Church to Christ, namely false professions and false teachers. There are also comforts in this. Church history is full of false teachers, but we will see the church prevail.