N.M. Stat. § 53-4-26
Transfer of shares and membership; withdrawal.
If a member desires to withdraw from the association or dispose of any or all of his
holdings therein, the directors shall have the power to purchase such holdings by
paying him out of surplus funds the par value of any or all of the holdings offered. The
directors shall then reissue or cancel the same. A vote of the majority of the members
voting at a regular or special meeting may order the directors to exercise this power to
purchase.
If the association fails, within 60 days of the original offer, to purchase all or any part
of the holdings offered, the member may dispose of the unpurchased interest
elsewhere, subject to the approval of the transferee by a majority vote of the directors.
Any would-be transferee not approved by the directors may appeal to the members at
their first regular or special meeting thereafter, and the action of the meeting shall be
final. If such transferee is not approved, the directors are under a duty to exercise their
power to purchase, if and when there are sufficient surplus funds.