The most common and most likely answer to this crossword clue is the 6 letter word INDABA
I
N
D
A
B
A
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The straight part
We know that "conference" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case conference = indaba.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 INDABA mean?
INDABA noun- A tribal conference held by Nguni leaders.
- A problem, a concern.
- An international conference of Scout leaders.