Quickest way to get from Terminal D to Terminal E ATL?

My flight keeps getting delayed so my 90 minute layover is now 7 minutes. I'm currently scheduled to land at 3:58 D41 and need to make a 4:05 departure E2. Not checking baggage. Delta rep is putting me on first row on first flight so I can be the first off the plane. I can't really tell how far those gates are from one another and if I just need to make a run for it? They've also confirmed me on a 10:30pm flight if I miss this one but I really don't want to be in the airport for 7+ hours. Is this doable, even though it's stressful?