The phrase "immediate authority" is correct and usable in written English.
You can use it to refer to a person or organization that has direct authority. For example, "They appealed to the immediate authority for assistance."
Bush administration officials insisted that they had not retreated from their demand for immediate authority to use military force.
On Nov. 11, 1942, in reaction to the Allied landings, German and Italian forces overran southern France, the metropolitan territory hitherto under Pétain's immediate authority.
Yet it appears that for some, the call to listen before speaking, to refrain from asserting immediate authority, is so unfamiliar that it feels outrageous.
After the death of Conrad I's brother Eberhard in 939, Otto I kept the Franconian dukedom vacant, and the Franconian counts henceforth stood under the immediate authority of the crown.
Within that environment, the nursing home operator is the immediate authority, the provider of food, clothing, shelter, and health care, and, in every significant respect, the functional equivalent of a State.
A state commissioner, to be appointed by such board, was empowered to furnish liquors to the various local dispensaries provided for in the statute, which were under the immediate authority of county boards having power to appoint officers, known as dispensers, to sell liquors direct to consumers.
In either case the manager is still bound by the immediate, formal authority and fealty patterns of his position; the new although more ambiguous fealty relationships with the patron are added.
Although virtue tends to coincide with interest it tends to coincide because a virtuous life is a life with the right balance of benevolent passions and dispositions to make one happy and a life which responds to the unchanging and immediate moral authority of conscience -- although they are approved of and motivated by self-love as well.
Macelaru showed immediate interpretive authority with Ravel's Rapsodie espagnole- the Prelude of the Night opening just conjuring sensorial realms and earthy evocations.
In the immediate aftermath, authorities sought to portray the miners, who were striking illegally, as responsible for the violence and bloodshed.
Having heard something inaudible to others puts you in an immediate position of authority.
