Goddess, European star, turned up after heading for Vienna (5)
I believe the answer is:
venus
'goddess' is the definition.
(Roman goddess of love)
'european star turned up after heading for vienna' is the wordplay.
'european' becomes 'E' (abbreviation e.g. EU).
'star' becomes 'sun' (the Sun is a star).
'turned up' shows that the letters should be reversed in order.
'after' says to put letters next to each other.
'heading for' says to take the initial letters.
The initial letter of 'vienna' is 'v'.
'sun' backwards is 'nus'.
'e'+'nus'='enus'
'enus' after 'v' is 'VENUS'.
(Other definitions for venus that I've seen before include "Roman counterpart of Aphrodite" , "Aggrieved, peeved" , "Roman goddess of love" , "Brightest planet" , "One of the planets" .)