Neuro –from the Greek νεύρο=nerve, obviously relating to our nervous system and in extension to how we perceive the World and including our generated thoughts, feelings, notions/perceptions of concepts, physiology, memories, and how we also react including the use of linguistic patterns.
Linguistic relates to the use of language –both visual and speech to communicate with our fellow human beings but also with ourselves (e.g. our internal dialogs).
Programming, as in using our brain to conceive, plan, execute and achieve results with always taking into account the effect and impact their have on others and their (re)actions.
NLP alone is not therapy. It can, however, be used as an adjunct to traditional therapy. Its focus is purely on results.