The back end of that weather system has been going over Belize, it still has some sting to it, a lot of rain over night in southern Belize and some in many other parts, but that is moving away to the west and dying out. There should be some dryer air behind this.
Looks like today should see some sun later, when much of this blanket of cloud thins, there could still be the odd rain shower.
Temperatures in Belmopan:
Today is probably going to be similar, to yesterday :
Thu, max. 31°C 88°F Last night min. 24°C 75°F ( Coast usually cooler, hills even cooler )