It's even more unpleasant, because draw is featured in edgy newspaper (7)
I believe the answer is:
nastier
'it's even more unpleasant' is the definition.
I can't judge whether this definition defines the answer.
'because draw is featured in edgy newspaper' is the wordplay.
'because' becomes 'as' (I've seen this in other clues).
'draw' becomes 'tie' (synonyms).
'is featured in' is an insertion indicator.
'edgy newspaper' becomes 'nr' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'as'+'tie'='astie'
'astie' going inside 'nr' is 'NASTIER'.
Can you help me to learn more?
(Other definitions for nastier that I've seen before include "more awkward" , "More horrid" , "Less nice" , "More unpleasant or distasteful" , "Retsina (anag) -- not so nice" .)