N.M. Stat. § 44-3-8
If a demurrer to the complaint in such actions be filed by the defendant the same shall be heard and determined within six days from the date of service of a copy upon counsel for the plaintiff and relator, and if the demurrer is sustained, plaintiff and relator will be given not to exceed five days to amend the complaint, and if it is overruled then the defendant shall have a like time to file the answer, provided that upon good cause shown the court may extend the time of either party, but in no event shall the time be extended to either party more than four days. The issue as finally made shall stand for trial forthwith; and no continuance of any such cause shall be granted upon the application of either party unless he shall show the absence of a witness or other testimony and they shall be deemed material by the court. The plaintiff or relator may traverse or offer counter evidence to the facts set forth in such application for continuance.
NMS § 44-3-8