Careful thought is consideration.
consideration?
consideration
Consideration?
consideration
Consideration
thought
It could be concept, or thought.
Used in this context, the word "due" means "after careful thought and deliberative consideration given to the matter at hand."
One option is pensive.
lies
The word careful is an adjective. It means to be full of care.
The C has a hard sound in the word careful.
glib
Synonyms for cautious: watchful alert safe careful
muse?