No at the moment, as it is a direct interference in the affairs of a religion. Forcing the CoE to drop the Sovereign as head of the Church is my only sticking point, a simple recognition that this role is separate from the parliament and legislature of Great Britain would be preferable.
The sovereign can be head of State of other nations without it interfering in our governance, so why not allow them to remain head of the church, provided it is no longer linked with the state.
Finally, is there still a restraint on Catholics becoming Sovereign? If so, this bill would be a good place to get rid of it,