A "peremptory order" is a command or instruction that must be followed without question or delay. It is a firm and authoritative demand that leaves no room for negotiation or discussion. Full definition
The hotel was indeed full of East Asians, evidently businessmen with their families, loud, self - assured, extremely well - dressed, and giving peremptory orders to the hotel staff. (firstthings.com)
This includes applications under s. 44 of the Arbitration Act 1996, challenges to arbitration awards, and the enforcement of awards and peremptory orders. (essexcourt.com)
The claimants had applied under s 42 (1) of the Arbitration Act 1996 to enforce a peremptory order of an LCIA tribunal seated in London. (essexcourt.com)