The term 'carry out dutifully' can be summarized as obeying orders without question. OBEY is the four letter solution to this crossword puzzle, and it implies that one should follow instructions without hesitation or resistance. This phrase is often used in a professional context, such as when an employee is expected to carry out their job duties in a timely and efficient manner. It can also be used in a more general sense, such as when someone is asked to do something for another person. In either case, the implication is that the task should be completed without any argument or delay.