Your examiner will also need to submit test notification iaw
IN-2015/050 and receive confirmation from the CAA in advance of the AoC if you're a UK licence holder.
I'm surprised you can't find a FIE available in the UK next week! I suppose it would help applicants if the CAA published contact details of examiners as required under Part-ARA, ARA.FCL.205.
ifitaint...