One’s husband volunteers to meet Republican goddess (6)
I believe the answer is:
ishtar
'goddess' is the definition.
(ancient Akkadian goddess)
'one's husband volunteers to meet republican' is the wordplay.
'one's' becomes 'I's' (Roman numeral).
'husband' becomes 'h'.
'volunteers' becomes 'TA' (abbreviation for Territorial Army).
'to meet' says to put letters next to each other.
'republican' becomes 'r' (abbreviation).
'is'+'h'+'ta'+'r'='ISHTAR'
(Other definitions for ishtar that I've seen before include "As sex goddess" , "goddess long ago" , "1980s comedy film" , "Babylonian goddess of love and war" , "Assyrian love goddess" .)