Old king accommodating theologian and cook (6)
I believe the answer is:
Here is my best explanation:
'cook' is the definition.
(coddling is a kind of cooking)
'old king accommodating theologian' is the subsidiary indication.
'old king' becomes 'cole' (**).
'accommodating' indicates putting letters inside.
'theologian' becomes 'dd'.
'cole' going around 'dd' is 'coddle'.
'and' is the link.
(Other definitions for coddle that I've seen before include "Treat indulgently", "Cook (egg) in water below boiling point", "Cook in nearly-boiling water", "Treat in an indulgent way", "Spoil, pamper", "Cook (eggs) in hot water - pamper", "Famous Dublin dish", "baby", "Pamper with traditional Dublin food dish" and "Treat (someone) in an overprotective manner".)