Appear with leaders from newspapers, covering yesterday's crisis (9)
I believe the answer is:
emergency
'crisis' is the definition.
(emergency is a kind of crisis)
'appear with leaders from newspapers covering yesterday's' is the wordplay.
'appear' becomes 'emerge' (emerging is a kind of appearing**).
'with' means one lot of letters go next to another.
'leaders from' says to take the initial letters.
The first letters of 'newspapers covering yesterdays' is 'ncy'.
'emerge'+'ncy'='EMERGENCY'
(Other definitions for emergency that I've seen before include "Serious situation requiring immediate action" , "Sudden dangerous occurrence" , "Patient needing immediate care" , "It's not expected" , "Sudden occurrence necessitating urgent action" .)