The most common and most likely answer to this crossword clue is the 9 letter word NOTORIETY
N
O
T
O
R
I
E
T
Y
More clues leading to the result NOTORIETY
- Bad reputation of Rio not yet dispelled
- Dodgy reputation not unknown around a lot of political party
- Bad reputation’s not unknown round most of Conservatives
- Public exposure: one Tory it affected
- Bow tie grabbed by Labour supporter? Infamy!
- Pity Nero. To lose power when rebuilding reputation
- I note Tory out for ill-gotten fame
- Infamy in denial over strange rite in play
- Bad reputation for opposition to disturbance announced by Yemeni leader
- Terrible reputation, one I try to improve
Buddy explains!

The straight part
We know that "Bad reputation" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bad reputation = notoriety.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does NOTORIETY mean?
NOTORIETY noun- The condition of being infamous or notorious.