Name and variety of shrub
Unfortunately, the picture is not useful for me to identify the the shrub. I would need a picture that has a better image of the flower(s), leaf (leaves), branch/twig to be able to identify the plant. Next year if you are able to bring in a small section of the plant or close-up pictures that would help with us being able to identify the plant for you. If you take a small sample of the plant you can bring it into the nearest cooperative extension office and some one can take a look at it for you.Your closest office looks like it would be at the Paradee Center in Dover, unless you are in a part of Kent County that is closer to UD's campus (New Castle County extension office). The plant does not look immediately recognizable to me.
Hi. I sent the photos you sent to Dr. Cynthia Hong-Wa at the Claude E Phillips Herbarium at Delaware State University -
It is Abelia x grandiflora (https://en.wikipedia.org/wiki/Linnaea_%C3%97_grandiflora). It’s a hybrid within the same family as honeysuckle.
It is a commonly cultivated plant and there are also several cultivars.
I hope this is helpful,