Survivor of The Archers broadcast absent as ISIHAC’s beginning (9)
I believe the answer is:
sebastian
'survivor of the archers' is the definition.
(survived being shot at with arrows)
'broadcast absent as isihac's beginning' is the wordplay.
'broadcast' is an anagram indicator.
'beginning' indicates taking the first letters.
The first letter of 'isihac' is 'i'.
'absent'+'as'+'i'='absentasi'
'absentasi' is an anagram of 'SEBASTIAN'.
(Other definitions for sebastian that I've seen before include "T. Night, Tempest shipwreck victims" , "Saint pierced by arrows" , "Viola's brother" , "Alonso's brother (Tempest)" .)