Take out a degree of indirectness (6)
I believe the answer is:
remove
This clue is a double definition.
'take out' is the first definition.
(I know that take out can be written as remove)
'a degree of indirectness' is the second definition.
(Other definitions for remove that I've seen before include "Get rid of, take away (6)" , "Take something away" , "Expel" , "Subtract" , "Takeaway" .)