Haughty and irreverent around ruler (9)
I believe the answer is:
Here is my best explanation:
'haughty' is the definition.
(I've seen this before)
'irreverent around ruler' is the subsidiary indication.
'irreverent' becomes 'impious' ('impious' can be similar in meaning to 'irreverent').
'around' means one lot of letters goes inside another.
'ruler' becomes 'er' (Abbreviation for Elizabeth Regina).
'impious' placed around 'er' is 'imperious'.
'and' is the link.
(Other definitions for imperious that I've seen before include "Haughty - domineering", "high-handed", "Arrogant, domineering", "Bossy", "Domineering", "High-handed" and "arrogant".)