Synonyms for Depute (same or very similar meaning)
WordNet sense 1 (transfer power to someone):
delegate, delegate
WordNet sense 2 (appoint as a substitute):
deputize, deputise
WordNet sense 3 (give an assignment to (a person) to a post, or assign a task to (a person)):
assign, designate
From the ODE community, based on WordNet
add/edit