shush: The CoE doesnt need to be baptised. It is possible to get married even with atheist, muslism etc (from the catholic church point of view). I think the only one requirement is for the other person to agree to respect the person's religion. Some time ago also the partner had to agree for the children to be raised in the catholic faith but i think it changed some years ago. Well, at the end of the day it depends on the particular priest but the general guidances are as above.
Of course, it depends on the individual priest, but the general rule is that to avoid any trouble, you should be baptised and should agree for the children to be raised as Catholics. You might find a liberal priest who is willing to ignore this - but it's by no means certain, and it may require special approval - which given the processes of the Catholic Church, it's by no means certain that it will be granted.
I know that many priests simply wouldn't agree to marry an athiest in the church.
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