Deer resistant shrubs include all spireas, fothergillas, abelias, philadelphus (put in a small one this spring), weigelia, viburnums. I'm sure there are others but these came right to mind.

a pic of the spot might get you more precise recommendations ... ken

I have these in a semi-circle and am please with them. The foliage is quite attractive.

Spirea Blue Kazoo.

https://www.bluestoneperennials.com/SPBK

I’d love white-variegated or silvery foliage and some flowering in shades of blue, purple, pink, or crimson, but I realize all that may not be possible.

Fence the deer out and plant whatever you like

Unfortunately it's not always that easy. We don't all have the funds to spend on a fence to keep out deer. So we have to work with other options, like plant choice and repellents.

:)
Dee

Sounds like caryopteris.

Thank you all for your helpful comments.

I’m in zone 6 Connecticut. I use a lot of dwarf fountain grass, emerald gaiety euonymus, thuja Danica globes (my favorites), crimson Pygmy barberry, hydrangeas-limelight’s in standard form and natural form, plus a beautiful dwarf quickfire hydrangea, a dwarf hibiscus I cut back every year so how’s its very full, peonies (herbaceous), a beautiful viburnum dentatum “blue muffin” which I love-no splashy flowers but very neat 8 ft tall full no fuss plant. And I am a daisy lover so lots of Shasta daisies “Becky”. I plant with plenty of good planting mix, take care of them especially the first year, but then they’re on their own (not completely but...). I also use green mountain box, and various globes boxes-don’t know if the deer would bother them or not. We luckily aren’t on a deer route-other properties in town are. Strangely, we Are on a bear route, but they stick to the back line of our property and we don’t bother them, and they don’t bother us. I enjoy watching their rare appearances (from inside the house)

I’d consider some dwarf conifers to compliment the herbaceous plants and deciduous shrubs. They’re interesting, relatively maintenance free, and many are of little interest to deer.

A few perennials that have proven to be deer resistant include Allium, Amsonia, Babtisia, Brunnera, and Aruncus.

My work horse shrub is Hydrangea arborescens. Deer will taste it, but they generally move on to something more tasty. Hypericum is a bee magnet that never seems to be bothered by anything. Wiegela and Spirea are dependable year in, and year out.

Wire deer netting + peeler poles + staples is relatively inexpensive, buying shrubs that are then spoiled and buying repellent over and over out indefinitely into the future seems pretty likely to match and then exceed the cost of such fencing. Even when the fencing is used to enclose a fairly large area.

For instance some years ago it cost about $300 to deer fence an entire mail order nursery growing area I was helping with at the time. In my area a body can easily spend $300 on one or two trips to a garden center to buy shrubs etc.

And supposedly deer resistant plants can turn out not to be - deer sample plants and may work on them for a bit before apparently deciding they don't like them. And what they go for varies from one site to the next, with items that are novel to those particular deer being targeted. So that for instance an 'Edward Goucher' abelia I planted years ago on a friend's country property has been kept nibbled back ever since - so much for abelias being predictably and reliably deer resistant.