Playwright creating conflict between company and director, initially (6)
I believe the answer is:
coward
'playwright' is the definition.
(Noel Coward)
'conflict between company and director initially' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict**).
'between' means one lot of letters goes inside another.
'company' becomes 'co' (abbreviation).
'and' says to put letters next to each other.
'initially' indicates taking the first letters.
The initial letter of 'director' is 'd'.
'co'+'d'='cod'
'war' put into 'cod' is 'COWARD'.
'creating' acts as a link.
(Other definitions for coward that I've seen before include "who would shy away from difficulties?" , "Yellow-belly" , "Person without courage" , "Person who shows fear or timidity" , "Noel . . . . . ., English playwright and actor" .)