While speaking, surrounded offensive woman (8)
I believe the answer is:
gertrude
'woman' is the definition.
'while speaking surrounded offensive' is the wordplay.
I cannot quite see how this works, but
'offensive' could be 'rude' and 'rude' is located in the answer.
The remaining letters 'gert' 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?
(Other definitions for gertrude that I've seen before include "queen" , "Hamlet's mother; drug tree (anag.)" .)