The county executive shall nominate, and by and with the advice and consent of a majority of the county council, shall appoint the chief officer of each executive department and office, except the separately elected offices. The executive shall notify the council in writing upon making an appointment. The council shall confirm or reject the appointment by motion within sixty days of the appointment. Failure to confirm or reject an appointment within sixty days shall constitute council consent to the appointment. An appointee whose appointment is rejected by the council shall not be reappointed to the same position for a period of one year from the date of council action. The county executive may appoint a confidential secretary and a deputy county executive without council confirmation.