Just because the storm weakened does not mean that the rainfall has let up. In fact, parts of Hispaniola will still see anywhere from six to 12 inches of rain when all is said and done.
So, what happens with Emily's remnants from here?
The latest radar imagery of this area of low pressure in the Atlantic indicates the chance for the low wanting to split in two and head off in separate directions. This will have to be monitored closely. If this were to happen, one piece would head towards the Gulf of Mexico and the other piece would continue on the current northwest track of the low. Some restrengthening isn't out of the question just yet either. That's option one.
Option two. Emily's remnants would continue on a northwest track as a whole and begin to veer off into the Atlantic over the next 48 hours or so. Still, some minor restrengthening is possible within this time frame once the area of low pressure passes land and reaches the Atlantic again.
The image below shows what computer models think will happen with these remnants. You can see both possibilities discusses above are visible, while the more likely scenario is option two.
