Fetch up carrying old queen’s wig (6)
I believe the answer is:
peruke
'wig' is the definition.
(peruke is a kind of wig)
'fetch up carrying old queen's' is the wordplay.
'fetch up' becomes 'puke' (both can mean to vomit).
'carrying' is an insertion indicator.
'old queen' becomes 'ER' (Elizabeth Regina, ie Queen Elizabeth).
'puke' going around 'er' is 'PERUKE'.
(Other definitions for peruke that I've seen before include "Ancient wig" , "Old fashionable wig" , "18th-century wig" , "Periwig" .)