The last time I checked (and actually visited in person in 2012) NSU does not offer online Psy.D. programs. They offer online master's degrees in general and forensic psychology and a master's in counseling (not to be confused with counseling psychology). I am not too sure if you may understand fully the process of how one essentially becomes a practicing psychologist. Roughly speaking (in rare, and trying cases) someone will get a doctoral degree (Psy.D./ Ph.D.) in counseling, school or clinical psychology from a degree mill or non-APA/CPA accredited school and get licensed...and much less get internship hours prior to even convincing your state board to qualify your coursework and degree is equal or on par with an APA/CPA accredited program.
Taking this rough view, a school can be accredited (Southern Association of Colleges and School, etc.) but not accredited in their individual third party accrediting bodies (APA/CPA, etc.). What this means is, you would get a degree from this school, pump in thousands of dollars, time and other resources involved to obtain this degree only to be stopped from becoming a psychologist because the program is not APA/CPA accredited. In fact, many universities shun away those who obtain online degrees (Argosy, Phoenix) from obtaining teaching positions, especially community college jobs. There are exceptions to the rule, however, they are the outliers.