Don't sweat it. You will be fine. A result (rejection/acceptance alike) is still better than no news at all, which is what most of my friends are experiencing. Frankly speaking I'd really appreciated the schools who notify me early on about their decisions so I can go for my plan B. So you may have a change to go for your plan B i.e. hurry up and find some other schools or alternatives. Time is money. Time is life. So waiting is not such a good thing to do.
A rejection at first is not a sign for anything. Different schools have different consideration - think about it, PhD is VERY DIFFERENT from a Master. Most of us paid every penny of our Master tuition bill out of our own pocket. But PhD is a big investment (~100k-200k total in 5 years) from the school on the student. So it's perfectly understandable that the school would make a very careful choice about who they are picking, because this student will represent the profit and reputation of the school in the future.
So long story short, it's more important to work with a compatible professor/program/department than getting a prestigious school, in my opinion. If you got accepted, congratulation! If not, well, don't stress yourself too hard. There's always another way!