Crossword Genius

Shakespeare unwell providing Iago’s motivation? (3,4)

Ross

I believe the answer is:

ill will

I'm a little stuck... Click here to teach me more about this clue!

'motivation?' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.

'shakespeare unwell providing iago's' is the wordplay.
I cannot really see how this works, but
'shakespeare' could be 'will' (I've seen this in another clue) and 'will' is found within the answer.
'unwell' could be 'ill' (similar in meaning) and 'ill' is found in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for ill will that I've seen before include "causing resentment" , "Enmity" , "Malice - unfriendliness" , "Hostility, malevolence" , "Hostile and unkind feeling" .)

I've seen this clue in The Sun.
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