Should the council fail or refuse to order an election as herein provided for the recall of a councilperson, when all the requirements for such election have been complied with by the petitioning citizens, in conformity with this chapter of the Charter, then it shall be the duty of any one of the district judges of Tarrant County, Texas, upon proper application being made therefor, to order such election and to enforce the carrying into effect of the provisions of this chapter of the Charter.