Difficult individual to wake up without something in tea and coffee (7)
I believe the answer is:
onerous
'difficult' is the definition.
(I've seen this before)
'individual to wake up without something in tea and coffee' is the wordplay.
'individual' becomes 'one' (an individual is one person).
'to wake up' becomes 'rouse' (I've seen this before).
'without' indicates named letters should be taken away.
'something in tea and coffee' becomes 'e' (letter found in both 'tea' and 'coffee').
'rouse' with 'e' removed is 'rous'.
'one'+'rous'='ONEROUS'
(Other definitions for onerous that I've seen before include "Oppressive, difficult to bear" , "Involving much effort" , "Heavy, difficult to do or bear" , "Heavy and hard to bear" , "Toilsome" .)