Neither the Council, Mayor, nor any of its other members may direct or request the appointment of any person to, or his removal from, office or employment by the City Manager or by any other authority; or, except as provided in this Charter, participate in any manner in the appointment or removal of officers and employees of the City. The Mayor, Council, and its members shall deal with the administrative service solely through the City Manager in all matters pertaining to the administration of the affairs of the City, and neither the Mayor, Council, nor any member thereof shall give orders, either publicly or privately, on administrative matters to any subordinate of the City Manager. Nothing herein contained shall restrict an employee's right to exercise any rights guaranteed to them under the United States Constitution and Oklahoma Constitution.