Mandy Jones has been suspended for comments she made about UKIP's party leader in Wales, Neil Hamilton.
The North Wales assembly member is member of the UKIP party but sits as an independent in the Assembly.
Last week, she objected to Mr Hamilton being appointed to the Assembly Commission which is responsible for AMs' staff because he had not supported a policy on dignity and respect in the Assembly.
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In response to the objection, Neil Hamilton defended his actions.
In an unprecedented move, assembly members then voted to reject Neil Hamilton as UKIP's nomination to the Assembly Commission.
The party's AMs will now have to decide whether to try again or put forward a different name.
