From Longman Dictionary of Contemporary Englishof little/no/any etc consequenceof little/no/any etc consequenceformalUNIMPORTANT not very important or valuableof little/no/any etc consequence to Your opinion is of little consequence to me. I don’t suppose it is of any consequence now. → consequence
Examples from the Corpus
consequence to• Such faults as can be detected are of little consequence to the average kite-maker.• Because President Clinton is seeking re-election, the date is of little consequence to Democrats.• This is of little consequence to those of you who follow the San Francisco 49ers with the requisite devotion.• It changed hands again several times but its subsequent history is of no consequence to this narrative.• Does it enhance or threaten our security or is it of no consequence to us? 