As of 12:15, the severe weather threat in and around Metro Houston is now pretty much over, as the cold front has swung through the area (with the exception of places like Texas City, Galveston, and Lake Jackson, where that threat will end by about 1 PM). Rain will continue, heavy at times, behind the front. There could also be some thunderstorms still too, but any threat of damaging winds and tornadoes is shifting off to our east and will continue pulling away through the afternoon.
A map of temperatures tells the story quite well.