Changes avail dodgy bare-back rider (4,6)

I believe the answer is:

lady godiva

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'bare-back rider' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'changes avail dodgy' is the wordplay.
'changes' indicates anagramming the letters.
'avail'+'dodgy'='availdodgy'
'availdodgy' anagrammed gives 'LADY GODIVA'.

Can you help me to learn more?

(Other definitions for lady godiva that I've seen before include "protesting female" , "Naked rider through Coventry" , "Wife of Leofric, an early streaker!" , "romantic comedy film" , "She rode bareback (and bare front!)" .)

I've seen this clue in The Daily Express.

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