Transcripts Arriving Late: Rescinded?

So I’ve sent all my relevant transcripts, and ordered my old AP scores sent (has to be done by mail, as they are more than four years old). Issue is, USPS lost my first request, and now my second request is arriving four days later than it was supposed to (I paid for express, so that’s a whole other issue).

My question is, do you think if I talk to Admissions and explain (especially given that they’ve received my other transcripts already), that they’ll be understanding and my offer won’t be rescinded? Anyone have experience with this? Thanks!