Burning desire to see extremely pretty country (9)
I believe the answer is:
pyromania
'burning desire' is the definition.
(desire to burn)
'extremely pretty country' is the wordplay.
'extremely' says to hollow out the word (remove centre letters).
'country' becomes 'romania' (Romania is an example**).
'pretty' with its middle taken out is 'py'.
'py'+'romania'='PYROMANIA'
'to see' is the link.
(Other definitions for pyromania that I've seen before include "Criminal urge" , "setting of conflagration" , "Pay Marion (anag.)" , "Burning desire" , "lighting up for fun?" .)