Key point rejected, as far as celebrity is concerned (5)

I believe the answer is:

pivot

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'key point' is the definition.
'pivot' can be an answer for 'point' (I have seen 'Point of turning ' mean 'pivot' so perhaps 'point' could also mean 'pivot'). I am not certain of the 'key' bit.

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for pivot that I've seen before include "On which one turns" , "Something of central importance" , "Spin" , "Central point on which things turn" , "Revolve" .)

I've seen this clue in The Guardian.

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