Nice room! I would think about a semi flush mount, perhaps Rejuvenation would be a good place to start

https://www.rejuvenation.com/shop/lighting/semi-flush-mount-lighting+flush-mounts-lighting/producttype-m-product-type-ff00050b1120272ffe20202020-1/?cm_type=lnav&originsc=lighting&isx=0.0.0

* this is likely too large for the room but just an idea to get the ball rolling

FWIW I would be so tempted to show off those pretty windows and move the TV to one side of the fireplace (there are mounts that enable that, then you pull them out and change the orientation to horizontal)

I agree with a flush or semi flush mount fixture.

It's a shame to have a jumbo TV iin such a beautiful room with your art collection.

I like what you have actually in your eclectic room and suggest looking for another interesting design if replacing.

I really love your light fixture, and your fireplace surround, and your art. Please don't change any of them. They work perfectly together.

And btw, I have been eyeing that red statue you have in the corner for months. It's nice to be able to see it in someone's home instead of in an ad online.

Thank you everyone. I have turned a lot of people on to Houzz. I love the advice section. Much appreciated. Plus, I love see others questions.

First order or business should be moving the TV so it doesn’t block the windows, as others have suggested. it‘s such a great room and this is the only off note.