Fine old house converted into steamy hotel (7,4)

I believe the answer is:

stately home

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'fine old house' is the definition.
The definition suggests a singular noun which matches the answer.

'converted into steamy hotel' is the wordplay.
'steamy hotel' anagrams to 'STATELY HOME'.
But, I am not sure how the anagram is indicated.

Can you help me to learn more?

(Other definitions for stately home that I've seen before include "Large country house" , "Mansion such as Blenheim Palace" , "pile" , "big house" , "House of Lords, perhaps" .)

I've seen this clue in The Irish Independent.

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