Bad hat going round the wood with a girl (6)
I believe the answer is:
thelma
'a girl' is the definition.
'bad hat going round the wood' is the wordplay.
'bad' indicates an anagram.
'going round' indicates putting letters inside.
'the wood' becomes 'elm' (elm is a kind of wood).
'hat' with letters rearranged gives 'tha'.
'tha' placed around 'elm' is 'THELMA'.
'with' is the link.
(Other definitions for thelma that I've seen before include "-- and Louise, 1991 film" , "Woman" , "Charge with gas" , "Girl" , "Louise's friend" .)