Accordingly, adv.
1. Agreeably; correspondingly; suitably; in a manner conformable. Behold, and so proceed accordingly. Shak.
2. In natural sequence; consequently; so.
Syn. -- Consequently; therefore; wherefore; hence; so. -- Accordingly, Consequently, indicate a connection between two things, the latter of which is done on account of the former. Accordingly marks the connection as one of simple accordance or congruity, leading naturally to the result which followed; as, he was absent when I called, and I accordingly left my card; our preparations were all finished, and we accordingly set sail. Consequently all finished, and we accordingly set sail. Consequently marks a closer connection, that of logical or causal sequence; as, the papers were not ready, and consequently could not be signed.
Shades of meaning
Fernald has no entry of its own for accordingly; he lists it under therefore.
Where he writes about it:
Accordingly denotes correspondence, which may or may not be consequence; it is often used in narration; as, "The soldiers were eager and confident; accordingly they sprang forward at the word of command." Thence is a word of more sweeping inference than therefore, applying not merely to a single set of premises, but often to all that has gone before, including the reasonable inferences that have not been formally stated. — from therefore