Effort to welcome a cold girl (5)
I believe the answer is:
tracy
'girl' is the definition.
'effort to welcome a cold' is the wordplay.
'effort' becomes 'try' (synonyms).
'to welcome' is an insertion indicator (in sense of 'inviting in').
'cold' becomes 'c' (eg on taps).
'a'+'c'='ac'
'try' going around 'ac' is 'TRACY'.
(Other definitions for tracy that I've seen before include "Film actor" , "Spencer -, US actor" .)