Big blow recently from Brussels, note unfriendliness (6)
I believe the answer is:
eunice
'big blow recently' is the definition.
I can't judge whether this defines the answer.
'brussels note unfriendliness' is the wordplay.
'brussels' becomes 'EU' (European Parliament is based in Brussels).
'note unfriendliness' becomes 'nice' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'eu'+'nice'='EUNICE'
'from' is the link.
Can you help me to learn more?
(Other definitions for eunice that I've seen before include "Female name deriving from happy victory in Greek" , "Woman" , "Girl" , "Girl's name" .)