The most common and most likely answer to this crossword clue is the 8 letter word SCRAWLED
I've seen this crossword clue in The Guardian
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More clues leading to the result SCRAWLED
Buddy explains!

The straight part
We know that "badly drawn" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case badly drawn = scrawled.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 SCRAWLED mean?
SCRAWLED verb- To write something hastily or illegibly.
- To write in an irregular or illegible manner.
- To write unskilfully and inelegantly.
- To creep; crawl; (by extension) to swarm with crawling things
- Having been written in a rapid and sloppy manner.