New Mexico Statutes Chapter 1. Elections § 1-8-8. Vacancy on general election ballot; occurring after primary

A. If after a primary election, but ninety or more days before the general election, a vacancy occurs, for any cause, in the list of the nominees of a qualified political party for any public office to be filled in the general election, or a vacancy occurs because of the resignation or death of a person holding a public office not included in the secretary of state's general election proclamation and which office is required by law to be filled at the next succeeding general election, or a vacancy occurs because a new public office is created and was not included in the secretary of state's general election proclamation but is capable by law of being filled at the next succeeding general election, the vacancy on the general election ballot may be filled by:

B. Appointments made pursuant to Subsection A of this section shall qualify pursuant to Section 1-8-18 NMSA 1978.

C. The county or state central committee members making the appointment pursuant to Subsection A of this section shall be as provided for in the rules of the respective party; provided that, at a minimum, the committee shall include those members residing within the boundaries of the area to be represented by the public office.

D. Appointments to fill vacancies in the list of a party's nominees shall be made and filed with the proper filing officer on or before the seventieth day prior to a general election using the form prescribed by the secretary of state, along with the declaration of candidacy form subscribed and sworn by the selected nominee and the form for candidates pursuant to the Campaign Reporting Act.

E. When the name of a nominee is filed as provided in this section, the name shall be placed on the general election ballot as the party's candidate for that office.