Unyielding one crazy about getting fake tan (7)
I believe the answer is:
adamant
'unyielding' is the definition.
(I've seen this before)
'one crazy about getting fake tan' is the wordplay.
'one' becomes 'a'.
'crazy' becomes 'mad' (synonyms).
'about' is a reversal indicator.
'getting' means one lot of letters go next to another.
'fake' is an anagram indicator (I've seen this in other clues).
'mad' backwards is 'dam'.
'tan' anagrammed gives 'ant'.
'a'+'dam'+'ant'='ADAMANT'
(Other definitions for adamant that I've seen before include "Unyielding to requests, stubborn" , "Determined and unyielding to requests" , "intractable" , "unshakeable in purpose" , "popstar" .)