So what happens now? Firstly, you can still enjoy them for at least a few days, perhaps longer. You don't have to see them today to enjoy them in all their glory, and as they turn pink in the next few days you can argue that they'll look even prettier.
As they move beyond peak they start becoming more fragile. In ideal conditions (cool, calm, dry) they can hang around for a week or more. In less than ideal conditions (rainy, windy, stormy, warm) they can be chased away sooner, perhaps in as little as 3-5 days. Right now, the weather forecasts aren't for ideal conditions. You can get some sense of what to expect, and the large variation, from this photo timeline.