I would suggest that it's a bit 'rough' to be used with the furnishings already selected.

You cannot view the images unless you hang it on the wall or lean it on a picture ledge that is mounted to the wall.

Find a better location for it.

For hanging purposes, I would install a D ring on each side. I agree with Beverly on the placement.

If you find a stud and or use a sheet rock anchor it can properly hand on a wall.

Consider using shelf brackets (Link below). Perhaps you can explore window films that can be used to set off the photos better in each pane.

Ekena Millwork BKTM02X06X05HSPBL $9.22 - SteelTek Hanging Shelf Bracket, Powder Coated Black, 2"W x 6"D x 5 1/2"H (Holds Shelves up to 5 1/2"D)

Do you have a fireplace with a mantel? You could prop it on the mantel shelf.

Would you consider placing your mirror off center of the table and placing your picture frame on the table leaned agaist the wall?

Not sure if it suits that location as it takes away from the lovely set up that’s there. Just mentioning before you secure to the wall and then not like the outcome.

Use a french cleat it can handle the placement on a wall. BTW the piece does not suit the other elemnets on that wall.

Thank you for your help with this dilemma! I’ve decided to move it to a different location to start and considering all the great “how to” hanging advice!!!

If you want to hang the frame,two french cleats as suggested by Patricia will provide secure placement as long as you screw the wall portions of the cleats into the wall studs.
The piece is probably heavy and it may be a hassle to take it off the wall to change out the photos.
Have you considered attaching two sturdy metal feet on the bottom of the frame?
This adaptation may allow the piece to stand alone near a wall,and make it easier to swap out the photos..
Another update may be to remove the white paint and polish up the bare wood...this would "de- rusticate the frame and better match your current decor.
Do show us your ultimate solution!