I think that that message in isolation is fairly useless. If they adminstered 10,000 shots and had 2 reactions then it's not a big deal. If they administered 10 shots then it might be.
I didn't post the whole article, but it did mention there were thousands of shots administered yesterday and just the two reported significant reactions.
Again, if you have a history of adverse reactions to vaccines or other allergies it's probably prudent to wait a couple of weeks and see how things play out--assuming you're in a position to do so (comfortably working remote, no one in your home at-risk, etc.)