Crossword Genius

While speaking, surrounded offensive woman (8)

Ross

I believe the answer is:

gertrude

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

'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.)" .)

I've seen this clue in The Times.
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