Section 4A. Except as otherwise expressly provided, a district board, if authorized by vote of the district at an annual district meeting, or a town board may, if authorized by vote of the town at an annual town meeting, appoint any member thereof to another town or district office or position for the term provided by law, if any, otherwise for a term not exceeding one year. The salary of such appointee shall be fixed by vote of the town or district, notwithstanding the provisions of section one hundred and eight. In this section, the word “town” shall not include city.