Milliner suffering with sciatica dismisses one being critical of the cloth (15)

I believe the answer is:

anticlericalism

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'critical of the cloth' is the definition.
I can't tell whether this defines the answer.

'milliner suffering with sciatica dismisses one' is the wordplay.
'suffering with' is an anagram indicator.
'dismisses' is a deletion indicator.
'one' becomes 'i' (Roman numeral).
'sciatica' with 'i' taken out is 'scatica'.
'milliner' anagrammed with 'scatica' makes 'ANTICLERICALISM'.

'being' acts as a link.

Can you help me to learn more?

(Another definition for anticlericalism that I've seen is " Opposition to the church".)

I've seen this clue in The Guardian.

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