Del. Code tit. 7 § 3907
The board of district supervisors annually shall designate by election 1 of its members to be its chairperson, and shall designate future chairpersons by the same means. A majority of the board shall constitute a quorum, but the concurrence of a majority of the entire board on any matter within its duties shall be required for its determination, except as the board may invest any of its supervisors with power to determine specified matters or to perform routine duties. The board shall be authorized, in its discretion, to reimburse supervisors for their expenses, including travel expenses, necessarily incurred in the discharge of their duties as members of the board.
Any district supervisor may be removed from office by the Department of Natural Resources and Environmental Control, upon notice and hearing, for neglect of duty or misconduct, but for no other reason.
7 Del. C. § 3907