This author's support for audience is strong (6)

I believe the answer is:

mighty

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'is strong' is the definition.
(thesaurus)

I can't explain the rest of the clue.

(Other definitions for mighty that I've seen before include "Strong, powerful" , "Large" , "Having great strength" , "Powerful - huge" , "Arrogant people are often described as high and . . . . . ." .)

I've seen this clue in The Telegraph.

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