The Dodekanisos timetable is usually very reliable Snoopy so you can be pretty sure it will be correct.
The Pride follows almost the same timetable on Sundays so you can check it's running by watching the webcam at 7.25 UK time tomorrow morning to see it arrive.
In the unlikely event of the Pride not running you still have the choice of the ANES Proteus at 11.00 or, if you don't mind a detour to Panormitis, the Symi II at 9.00
Have a fantastic time!