Any district attorney may be removed from office according to the provisions of this act [ 36-1-9 to 36-1-17 NMSA 1978] on any of the following grounds:
A. conviction of any felony or of any misdemeanor involving moral turpitude;
B. failure, neglect or refusal to discharge the duties of the office, or failure, neglect or refusal to discharge any duty devolving upon the officer by virtue of his office;
C. knowingly demanding or receiving illegal fees as such officer;
D. failure to account for money coming into his hands as such officer;
E. gross incompetency or gross negligence in discharging the duties of the office;
F. any other act or acts, which in the opinion of the court amount to corruption in office or gross immorality rendering the incumbent unfit to fill the office.