Duke brought food in fenland city, and rightly so (10)

I believe the answer is:

deservedly

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'rightly so' is the definition.

'duke brought food in fenland city' is the wordplay.
'duke' becomes 'd'.
'brought food' becomes 'served' (I am not sure about this - if you are sure you should believe this answer much more).
'in' means one lot of letters goes inside another.
'fenland city' becomes 'ely' (Ely is a city in the Fens).
'served' put within 'ely' is 'eservedly'.
'd'+'eservedly'='DESERVEDLY'

'and' acts as a link.

Can you help me to learn more?

I've seen this clue in The Times.

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