Those who tweet probably exploit deaths after that woman fired at random (9,7)

'those who tweet probably exploit' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'deaths after that woman fired at random' is the wordplay.
I cannot quite see how this works, but
'deaths' could be 'ends' ('end' can be a synonym of 'death') and 'ends' is present in the answer.
'woman' could be 'f' (I've seen this in other clues) and 'f' is present in the answer.
an anagram of 'fired' is 'edfri' which is located in the answer.
'at' could be 'her' (I've seen this in other clues) and 'her' is located in the answer.
The remaining letters 'eat' 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?