Joyful orchids cultivated without state backing (9)
I believe the answer is:
rhapsodic
'joyful' is the definition.
(rhapsody is intense joy)
I don't understand how the remainder of the clue works.
(Other definitions for rhapsodic that I've seen before include "Expressing ecstatic feeling" , "Like an irregular and emotional composition" , "of utter delight" , "Wildly emotional" , "Ecstatic, extravagantly enthusiastic" .)