I genuinely thought you were calling the OP Sue, went searching to see if Sue was the new Karen, couldn't find anything, came back and realised you meant sue them... FML.
Wouldn't that be "Did you complain, Sue?"?
It's the same thing both ways! Chalk up another win for English.
But not Sue, did you complain?
Not quite the same:
"Didn't you complain, Sue?" - A question to Sue
"Didn't you compain? Sue?" - A question to Sue who is inattentive
Surely you weren’t the only one who read it that way.