I have checked with the Assistant Registrar. He indicates that the NSRP approves new applicants for practice areas and populations when they apply to NSRP.
The NSRP does not have specific treatment modalities within a practice area that they restrict candidates from doing. However, as is the case with all registrants, candidates must ensure they have competence for any work they wish to engage in.
With that said, if the supervisors are expressing reservation because neither feels they have competence to provide supervision with EMDR work then we would recommend that you secure a psychologist who could provide supervision on this particular work.