Crossword Genius

Cherished origins of royal and ancient tourist destination (5)

Ross

I believe the answer is:

petra

'ancient tourist destination' is the definition.
(Petra is an ancient city in Jordan)

'cherished origins of royal and' is the wordplay.
'cherished' becomes 'pet' (as in a pet project).
'origins of' indicates taking the first letters.
The first letters of 'royal and' is 'ra'.
'pet'+'ra'='PETRA'

(Other definitions for petra that I've seen before include "Ancient Jordanian city carved from rock" , "Picturesque city" , "Old city in Jordan" , "Burgon's rose-red city" , "Jordan's rock-hewn city" .)

I've seen this clue in The Guardian.
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