Shrew’s close relative destroyed a cabin (6)
I believe the answer is:
bianca
'shrew's close relative' is the definition.
(sister of Katherine in The Taming of the Shrew)
'destroyed a cabin' is the wordplay.
'destroyed' is an anagram indicator.
'a'+'cabin'='acabin'
'acabin' with letters rearranged gives 'BIANCA'.
(Other definitions for bianca that I've seen before include "Katherina's sister (Taming of the Shrew)" , "Cassio's lover (Othello); Katharina's sister (Shrew)" , "Woman" , "Kate's sister (Shrew)" , "Female role in The Taming of the Shrew" .)