Drunkenly inept Rick is overly-fussy critic (3-6)

I believe the answer is:

nit-picker

I'm a little stuck... Click here to teach me more about this clue!

'critic' is the definition.
(I've seen this before)

'drunkenly inept rick' is the wordplay.
'drunkenly' indicates anagramming the letters.
'inept'+'rick'='ineptrick'
'ineptrick' anagrammed gives 'NIT-PICKER'.

'is overly-fussy' is the link.
This may not be correct. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

I've seen this clue in The Independent.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.