Crossword Genius

In America, she gets in a state (5)

Ross

I believe the answer is:

diana

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'state' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'in america she gets in a' is the wordplay.
'in' means one lot of letters goes inside another.
'america she' becomes 'da' (I can't justify this - if you can you should believe this answer much more).
'gets' indicates putting letters inside (gets can mean captures or absorbs).
'da' placed around 'in' is 'dina'.
'dina' enclosing 'a' is 'DIANA'.

Can you help me to learn more?

(Other definitions for diana that I've seen before include ""The People's Princess"" , "MONKEY" , "British princess" , "Roman godess of the hunt" , "Girl" .)

I've seen this clue in the Evening Standard.
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