Your room (wainscoting, shutters, transom) and the furniture (hutch, table, chairs) do not read 'transitional,' but traditional. A transitional chandelier could certainly work with your current decor, but I think that it needs to be, perhaps, one that leans more traditional than contemporary. I googled 'transitional chandelier' and there are just so, so many choices. I would go with a more traditional shape, but with simpler lines than an actual traditional one. I don't think a drum shade would work well in your room...at least I didn't see one that caught my eye, but you might!

The table doesn’t look big enough for the room …it looks casual and seems more like a kitchen table…add too that..it is too bright a white ….compared to the trim…” the hutch” looks more like a bookcase and is the only dark wood piece?….to keep it as is …the hutch should be white and all the whites need to match…a very casual light would fit in better…some curtains or sheers at each end of the window would add a softer look to the room…to go with the more casual furniture

Thanks btydrvn, the table has a leaf which of course makes it larger and oval. I prefer the round look. I realize the whites are off. When we ordered it, the sample seemed very close to the woodwork. Some day we will repaint.

I've never seen this rug, but might be the ivory and light-colored blend for your neutrals.

https://www.circalighting.com/sawyer-medium-chandelier-ksc1046/#2461=35531

Safavieh Chelsea Collection HK214 Rug, Ivory, 9'x12' · More Info

Perhaps a search on google… “chandeliers for round tables”……and any other detail you like…..will give you a feel for what type chandelier appeals to you

Or hardly repeat either white table or wall color -

Safavieh Heritage Collection HG735 Rug, Blue/Ivory, 9'x12' · More Info

Vintage Industrial Wood Chandelier,Circular Rustic Wood Beads Chandelier · More Info

BeverlyFLADeziner - Thanks so much! If not too much trouble, can you send me link for the third area rug? I like these chandeliers too. Every other hanging light in the house is oil brushed bronze so I prob should look for that finish but I really like the style.

Try rotating table so it is an 'x', not a cross. Not related to lighting, just a random comment. The room is really lovely, except for the tall, dark piece. I'd remove it, and add a buffet or similar low piece.

Here are some similar rugs from Ballard Designs that could work.

Love the third rug with simple chandelier

Living space. Modern ideas for living room design. · More Info

Gold candle-style crystal chandelier over a long dining table — Mirodemi · More Info

We want to offer you these variants. What do you think about it?

Of course this is not for me to say...the OP can chime in on the 2 suggestions from Mirodemi, who is apparently a PRO, but I don't think either of them fits the style or scale of the dining room in question. Hers is not a modern space, and it is certainly not as grand as the 2nd option.