I use the expression "normative ethical theory" from time to time, so I thought it would be worthwhile (for me as well as for you) to explain it. Each word in the expression conveys information by way of contrast. Let me take them in turn.
1. Normative. The contrast is with positive. A thing is normative when it embodies or expresses a norm, which is a standard. Norms are capable of guiding conduct. Norms are everywhere. There are ethical norms, legal norms, political norms, epistemic norms, norms of etiquette, sporting norms, aesthetic norms, and so forth. A thing is positive when it does not embody or express a norm. Instead, it posits or lays down how things are, for better or for worse. Science, whether natural or social, is positive, not normative. The scientist's job is not to change the world; it is to understand the world (or some subset of it). The scientist's job is not to set things right but to get things right.
2. Ethical. The contrast is (primarily) with legal and political. An ethical norm guides conduct in the ethical realm. A legal norm guides conduct in the legal realm. A political norm guides conduct in the political realm. Positive ethics lays down how things are in the ethical realm. It describes such things as what people believe to be right, what they believe to be good, and how they in fact behave (for they may not behave as they believe or say they should). Positive law is the law that actually exists. Positive politics is the set of political processes, activities, and institutions that actually exist or occur.
3. Theory. The contrast is with practice, which is essentially normative in nature (since it is concerned with change rather than understanding). Ethical practice is action in the ethical realm. Legal practice is action in the legal realm. Political practice is action in the political realm.
Since practice is essentially normative (rather than positive) in nature, there are nine categories rather than 12: (a) normative ethical theory; (b) normative ethical practice (a.k.a. practical ethics); (c) normative legal theory; (d) normative legal practice; (e) normative political theory; (f) normative political practice; (g) positive ethical theory; (h) positive legal theory; and (i) positive political theory. Normative ethical theories include utilitarianism, Kantianism, natural law, divine command, contractarianism, egoism, and Rossian formalism. Normative legal theories include originalism, natural law, wealth maximization, Dworkinian law as integrity, utilitarianism, and pragmatism. Normative political theories include Aristotelianism, civic republicanism, communitarianism, natural law, perfectionism, liberalism, utilitarianism, egalitarianism, and libertarianism. Legal realism is a positive legal theory. My essay "A Theory of Rape" sets out a normative legal theory of a particular area of law. (Antony Duff and David Archard misinterpreted it [willfully?] as a positive legal theory, with the result that nothing either one of them said about it undercuts it. As I explained to them, I can't get rape wrong if I'm not trying to get it right.) Note that utilitarianism and natural law provide norms for all three realms: ethics, law, and politics. We might call them comprehensive normative theories.
