Council shall determine all matters of personnel policy and the Mayor shall administer such policy. Neither Council nor any of its members shall direct, or in any manner interfere with or obstruct the appointment or removal of any City employee except an employee whom Council is authorized to employ and remove under the provisions of this Charter. Except for the purpose of inquiry, Council and its members shall deal with the administrative service solely through the Mayor and neither Council nor any member thereof shall give orders to any subordinate of the Mayor, either publicly or privately.