Looking cross and conspicuous (7)

I believe the answer is:

glaring

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'conspicuous' is the definition.
(thesaurus)

I can't explain the remainder of the clue.

(Other definitions for glaring that I've seen before include "Shining intensely, very obvious" , "Angrily staring" , "Dazzlingly bright" , "Dazzling" , "Blatant" .)

I've seen this clue in The Globe and Mail.

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