Wiktionary
gone down the wrong way
vb. (past participle of go down the wrong way English)
Usage examples of "gone down the wrong way".
Granny had listened to people who'd nearly died but had come back, possibly because of a deft thump in the right place or the dislodging of some wayward mouthful that'd gone down the wrong way.
I treaded water while I coughed out the water that had gone down my windpipe, and some that had gone down the wrong way came up the wrong way and out my nose.