In distress, broken by temperature, leave the Badlands (7,6)
I believe the answer is:
painted desert
'badlands' is the definition.
(badlands in Arizona)
'in distress broken by temperature leave' is the wordplay.
'in distress' becomes 'pained' (I've seen this in another clue).
'broken by' means one lot of letters goes inside another (inserted letters break into the word).
'temperature' becomes 't' (abbreviation).
'leave' becomes 'desert' (desert can mean to leave or abandon).
'pained' placed around 't' is 'painted'.
'painted'+'desert'='PAINTED DESERT'
'the' acts as a link.
(Another definition for painted desert that I've seen is " (Colourful) area of northeast Arizona".)