...with awfully tedious exterior (7)

I believe the answer is:

outside

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'exterior' is the definition.
(I know that exterior can be written as outside)

'with awfully tedious' is the wordplay.
'tedious' anagrams to 'OUTSIDE'.
But, I am not sure how the anagram is indicated.

Can you help me to learn more?

(Other definitions for outside that I've seen before include "Tedious (anag)" , "Unlikely" , "Without" , "In the fresh air?" , "Exterior" .)

I've seen this clue in The Irish Independent.

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