Crossword Genius

Ministers in closet with stars (4,11)

Ross

I believe the answer is:

home secretaries

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

'ministers' is the definition.
(Home Secretary is an example)

'in closet with stars' is the wordplay.
I cannot quite understand how this works, but
'in' could be 'home' ('he's in' can mean 'he's home') and 'home' is located in the answer.
'closet' could be 'secret' ('secret' can be a synonym of 'closet') and 'secret' is found within the answer.
'stars' could be 'aries' (I've seen this before) and 'aries' is present in the answer.
No letters remain.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in The Independent.
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