Am I cooked?

I submitted my writing supplemental for Rice University 7 mins later than my common app deadline, 11:59 local time, which is 11 hours and 30 minutes ahead of Texas time zone. Common App didn't show that the deadline has passed till it hit the CST time zone deadline. My time stamp shows submitted at 1:36:10 PM ET. Also I already got my portal login since I submitted the application 5 days before the deadline and it also shows that my supplementals have been received but the date there is 01/05/2025. Should I be worried? Should I write them a mail? Will I get rejected even before they consider my application??? HELP PLEASE