Crossword Genius

Upright member on internet surprisingly rude (11)

Ross

I believe the answer is:

impertinent

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

'rude' is the definition.
(I've seen this in another clue)

'upright member on internet surprisingly' is the wordplay.
'upright member' becomes 'imp' (I can't justify this - if you can you should give a lot more credence to this answer).
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'surprisingly' indicates an anagram (a surprising ordering of the letters).
'internet' is an anagram of 'ertinent'.
'imp'+'ertinent'='IMPERTINENT'

Can you help me to learn more?

(Other definitions for impertinent that I've seen before include "Saucy" , "Rude" , "Disrespectful" , "Showing little respect" , "Bold" .)

I've seen this clue in The Independent.
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