It's still too early to guess with much confidence when the 2023 bloom will be. But we've seen a much-warmer-than-normal January, and long-range forecasts suggest above-average temperatures continuing as we get deeper into February (after a short very cold spurt at the beginning of the month).
On average, Washington DC's cherry blossoms bloom around late-March into early April, but the precise timing varies year to year depending on the local temperatures in the leadup to the bloom. You can find general information on the 2023 bloom to help plan your visit here.
It's still cold. Although the layer of snow has gone for now, there's still a layer of ice covering much of the Tidal Basin. And the weather forecast for the coming week is still very much a winter forecast–temperatures below average and a series of possible snow/rain/ice/sleet events. In other words, there's still a ways to go before we start seeing some cherry blossom action.
On the back of a colder than average December and January, unless it gets much warmer soon and stays that way, it's looking like the bloom might be on the later side this year. That said, it's still too early to make any reliable predictions.