Crossword Genius

Some say she barely managed to change her husband’s mind (4,6)

Ross

I believe the answer is:

lady godiva

I'm a little stuck... Click here to teach me more about this clue!

'some say she barely managed to change' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'her husband's mind' is the wordplay.
I cannot really understand how this works, but
'her' could be 'godiva' and 'godiva' is located in the answer.
The remaining letters 'lady' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for lady godiva that I've seen before include "protesting female" , "Tom peeped at her" , "romantic comedy film" , "Only Peeping Tom saw her ride!" , "Wife of Leofric, an early streaker!" .)

I've seen this clue in The Times.
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