The most common and most likely answer to this crossword clue is the 4 letter word SICK
I've seen this crossword clue in The Daily Telegraph
S
I
C
K
More clues leading to the result SICK
- Unwell and so weak in the end
- Bad film of oil obliterating lake
- Tee is cut from thin piece of wood, not well
- Stay to get temperature taken — when one's this?
- See 6ac.
- Poorly covered by basic kilt
- Excerpt from classic known poorly
- Reportedly so poorly
- Bad form of school punishment time’s forgotten
- Psychologically disturbed, or so you say
Buddy explains!

The straight part
We know that "Bad" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bad = sick.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 SICK mean?
SICK noun- Sick people in general as a group.
- Vomit.
- To vomit.
- To fall sick; to sicken.
- Having an urge to vomit.
- In poor health.
- Mentally unstable, disturbed.
- In bad taste.
- Tired of or annoyed by something.
- Very good, excellent, awesome, badass.
- In poor condition.
- Failing to sustain adequate harvests of crop, usually specified.
- To incite an attack by, especially a dog or dogs.
- To set upon; to chase; to attack.