Synonyms for Prying (same or very similar meaning)
WordNet sense 1 (offensive inquisitiveness):
nosiness, snoopinessWordNet sense 2 (offensively curious or inquisitive):
nosey, nosy, snoopyWordNet sense 3 (eager to investigate and learn or learn more (sometimes about others' concerns)):
curiousFrom the ODE community, based on WordNetadd/edit