It appears that the westward movement is keeping her alive. Based on the SAL dry air to the north of the storm.
Lois referred to the 'green' on the Funk Top satellite enhancement. I've included the latest Funk Top shot below. It basically indicates the towering higher cloud tops.

The mid/ upper level of Emily should have cleared the mountainous terrain of the Islands, for the most part. The current Center appears to be in the doughnut shaped area to the left of the Green or Blue. Depending on which shot you are viewing.

What is strange is the indentation on the western/ front side of Emily. I believe that the storm is ingesting dry air at some level leaving the satellite signature looking like the cookie monster took a bite out of the western side of Emily.
It's evident on all of the imagery that I have looked at tonight.

Dry air entrainment at it's best. Once Emily moves the main convection into the Eastern Caribbean the flow across Puerto Rico should diminish some of the dry air. Unless she turns NW.