You are texted by nice man pressing (6)
I believe the answer is:
urgent
'pressing' is the definition.
(I know that pressing can be written as urgent)
'you are texted by nice man' is the wordplay.
'you' becomes 'u' (commonly used in online communication).
'are texted' becomes 'r' (I am not sure about this - if you are sure you should believe this answer much more).
'by' is a charade indicator (letters next to each other).
'nice man' becomes 'gent'.
'u'+'r'+'gent'='URGENT'
Can you help me to learn more?
(Other definitions for urgent that I've seen before include "Pressing, compelling" , "Pressing, immediate" , "Critical" , "Needing immediate attention, don't delay" , "To be done asap" .)