Another word for delegate
representative, emissary, proxy, deputy, agent, substitute, envoy, regent, viceroy, consul, appointee, plenipotentiary, minister, surrogate, spokesperson, alternate, nominee, commissioner, ambassador, legate, member, duly elected representative, the people's choice*, stand-in*, sub*, pinch hitter*; see also agent 1, representative 1.
To give authority to another
authorize, commission, appoint, name, designate, accredit, nominate, select, choose, assign, cast, constitute, license, empower, deputize, depute, swear in, send as a deputy, ordain, invest, place trust in, fix upon, assign power of attorney to, elect, warrant, give one the nod*, give one the green light*, give one the go-ahead*; see also approve 1, commission.
To give duties to another
entrust, authorize, charge, assign, give to, hold responsible for, parcel out among, send on a mission, send on an errand, transfer, relegate, shunt, devolve, shove off on*, dump on*, pass the buck*; see also commit 2.