The most common and most likely answer to this crossword clue is the 5 letter word TSARS
T
S
A
R
S
Buddy explains!

The straight part
We know that "authorities" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case authorities = tsars.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 TSARS mean?
TSARS noun- An emperor of Russia (1547 to 1917) and of some South Slavic states.
- A person with great power; an autocrat.