Crossword Genius

Regime in which Mary Poppins would feel at home? (5,5)

Ross

I believe the answer is:

nanny state

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

'which mary poppins would feel at home?' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'regime' is the wordplay.
I cannot quite see how this works, but
'regime' could be 'state' (state is a kind of regime) and 'state' is found within the answer.
The remaining letters 'nanny' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

'in' is the link.

Can you help me to learn more?

(Other definitions for nanny state that I've seen before include "Undue government interference with personal choice?" , "Interfering authorities" , "Interfering government" , "Overprotective government deplored by Thatcher" .)

I've seen this clue in The Times.
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