Pop star I libel annoyed about fake news? Just a bit! (6,6)

'annoyed about fake news? just a bit' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'pop star i libel' is the wordplay.
I cannot really understand how this works, but
'i' is within the answer.
an anagram of 'libel' is 'bllie' which is within the left over letters.
The remaining letters 'eilish' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?