The invasion of Quebec had ended as…
December 1776 CE
Carleton is heavily criticized by Burgoyne for not pursuing the American retreat from Quebec more aggressively.
Due to these criticisms and the fact that Carleton is disliked by Lord George Germain, the British Secretary of State for the Colonies and the official in King George's government responsible for directing the war, command of the 1777 offensive will be given to General Burgoyne instead (an action that will prompt Carleton to tender his resignation as Governor of Quebec).
A significant portion of the Continental forces at Fort Ticonderoga are sent south with Generals Gates and Arnold in November to bolster George Washington's faltering defense of New Jersey. (He had already lost New York City, and by early December has crossed the Delaware River into Pennsylvania, leaving the British free to operate in New Jersey.)
Conquering Quebec and other British colonies will remain an objective of Congress throughout the war.
However, Washington, who had supported this invasion, considers any further expeditions a low priority that would divert too many men and resources away from the main war in the Thirteen Colonies, so further attempts at expeditions to Quebec will never be fully realized.