One throws out no. 1 from Eurovision winner (7)
I believe the answer is:
natural
'winner' is the definition.
(I know that natural is a type of winner)
'one throws out' is the wordplay.
'one throws' becomes 'naturals' (natural is a kind of throw).
'out' means to remove the last letter.
'naturals' with its final letter taken away is 'NATURAL'.
'no 1 from eurovision' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for natural that I've seen before include "Organic" , "Not artificial or affected" , "Unspoilt" , "one short of being sharp?" , "white key on a piano?" .)