Big star gave trouble (4)

I believe the answer is:

vega

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'big star' is the definition.
'Vega' can be an answer for 'star' (star in the constellation Lyra). I am unsure of the 'big' bit.

'gave trouble' is the wordplay.
'trouble' is an anagram indicator.
'gave' is an anagram of 'VEGA'.

Can you help me to learn more?

(Other definitions for vega that I've seen before include "heavenly body" , "First magnitude star" , "Gave turn to a star" , "Brightest star of constellation Lyra" , "Star in Lyra; grassy plain (Spanish)" .)

I've seen this clue in the Sydney Morning Herald.

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