iOS has a feature where you can setup certain contacts to override your 'do not disturb' settings. Check that out.
IIRC iOS also has a feature which allows through someone who rings multiple times in quick-ish succession?
Responding to an ambiguous worry of an emergency that may never even occur during your lifetime by allowing yourself to be continually interrupted by spammers (traditional call-based and new app-based) is actually a decent illustration of the overarching societal problem.