Scarlet after article on limits of Google made one annoyed (7)
I believe the answer is:
angered
'one annoyed' is the definition.
(made angry or annoyed)
'scarlet after article on limits of google' is the wordplay.
'scarlet' becomes 'red' (synonyms).
'after' is a charade indicator (letters next to each other).
'article' becomes 'an' (English indefinite article).
'on' says to put letters next to each other.
'limits of' means to remove the middle letters.
'google' with its middle removed is 'ge'.
'an'+'ge'='ange'
'red' after 'ange' is 'ANGERED'.
'made' acts as a link.
(Other definitions for angered that I've seen before include "Enraged (anag)" , "Infuriated" , "En garde (anag.)" , "In high dudgeon" , "Very annoyed" .)