From Longman Dictionary of Contemporary Englishstick/poke your nose into somethingstick/poke your nose into somethingINTERFEREto become involved in something that does not concern you, in a way that annoys people → nosy She always has to stick her nose into matters that do not concern her. → nose
Examples from the Corpus
stick/poke your nose into something• No one wants the government sticking its nose into the personal business of citizens.• Or maybe they resented a stranger poking his nose into their affairs?