Anxiously argue about Republican lazily tackling onset of epidemic (9)

'anxiously' is the definition.
(thesaurus)

'argue about republican lazily tackling onset of epidemic' is the wordplay.
'argue about' becomes 'wor' (I am not sure about this - if you are sure you should believe this answer much more).
'republican' becomes 'r' (abbreviation).
'lazily' becomes 'idly' (synonyms).
'tackling' indicates putting letters inside (to tackle is to take possession of).
'onset of' indicates taking the first letters.
The initial letter of 'epidemic' is 'e'.
'idly' placed around 'e' is 'iedly'.
'wor'+'r'+'iedly'='WORRIEDLY'

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