"Discretion of the hotel" means that the hotel has the authority to make decisions or take actions based on their own judgment or choice, without having to consult others. Full definition
Any extension is subject to prior arrangement + discretion of hotel management. (giliislandstravel.com)
In the case where room rental / room hire is included as part of a per person meeting package, awarding points on a portion of the package is at the discretion of the hotel. (hiltonhonors3.hilton.com)
In the case where room rental / room hire is included as part of a per person meeting package, awarding Points on a portion of the package is at the discretion of the hotel. (hiltonhonors3.hilton.com)