The most common and most likely answer to this crossword clue is the 9 letter word IMPERIOUS
I've seen this crossword clue in Financial Times
I
M
P
E
R
I
O
U
S
More clues leading to the result IMPERIOUS
- Unresponsive, not very overbearing
- I’m so pure I must change to be tyrannical
- High-handed and indifferent? Not very
- Arrogant Independent politician — critical but not initially
- Domineering and wicked English queen being imprisoned
- Haughty and irreverent around ruler
- Not easily influenced, but not very autocratic
- Arrogant and critical saint becomes a troublemaker
- Tyrannical, sinful monarch crushed
- Irreverent holding monarch to be tyrannical
Buddy explains!

The straight part
We know that "tyrannical" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tyrannical = imperious.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 IMPERIOUS mean?
IMPERIOUS adjective- Domineering, arrogant, or overbearing.
- Urgent.
- Imperial or regal.