Is the EdD really focused on "nursing" education -- or is it designed for educators to become administrators of academic programs?
At the doctoral level, it is really important to know your career goals and the specific foci of the program you choose to attend. They vary greatly from school to school.
In general though ...
If your ultimate goal is to be a full, tenured professor at a major university ... it will be critical for you to have a distinguished record of scholarly work (research and publication). The PhD in nursing would be your best choice.
If you want to become a school administrator, the EdD may be a better choice (but even that is questionable). It is still a good choice and in the past, it has been the best choice for many. But look around. Most department chairs/deans of other academic departments (such as chemistry, English, psych, etc.) do not have EdD's. They have PhD's in their respective disciplines and are respected scholars in their field. In the past, there have been few PhD programs in Nursing -- making it acceptable to have doctoral degrees in other fields. But with more and more nursing graduate programs availabe, at what point will people want the heads of nursing schools to have their terminal degree in the discipline they claim to be qualified to lead?
In 2012, the EdD is a perfectly acceptable degree for an academic admistrator in most places. Will the range of schools that accept that degree narrow in the future? I can't predict the future. But it's something to think about.
There is also the DNP ... which seems to be becoming an acceptable degree for people teaching (though there may be some restrictions as to how high you can rise in rank at some big research universities with a practice doctorate). The DNP is a good option for people who want their doctoral education to focus on nursing practice, but who don't want the heavy research focus of the PhD. You could incorporate the CNS or NP role into your DNP studies -- and advance your clinical knowledge, using that clinical expertise as your "claim to expertise" to teach. You could add credibility in the field of education by taking some electives in the field of nursing education, pick up an MSN in Nursing Education, or do a "post-masters certificate" in nursing education.
Exactly what type of nursing education do you want to do? What type of school do you want to teach at? How high in the educational hierarchy do you want to rise? What are the qualifications for those types of jobs in your area? These are questions you need to explore before you can know what type of doctoral program would be best for you.