Set day, but didnt go away (6)

I believe the answer is:

stayed

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'go away' is the definition.
The answer and definition are different parts of speech. However, past participle verbs and adjectives can sometimes mean the same thing.

'set day but didnt' is the wordplay.
'set day' anagrams to 'STAYED'.
But, I'm not sure how this is indicated.

Can you help me to learn more?

(Other definitions for stayed that I've seen before include "Remained; guyed" , "Remained in the same place" , "Tarried" , "Remained, did not leave" , "Stuck around" .)

I've seen this clue in The Irish Independent.

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