If I were you, I would put the tv on the end solid wall and float a pair of sofas in the room perpendicular to the tv wall. Then you'd have your tv and your fireplace at opposite ends of the room and you could enjoy either of them equally. I'm not sure how large your room is, but there may be room for another chair or two. You are best to draw up the room to scale and experiment with furniture dimensions to see what nicely fits there. Allow enough room for a coffee table or a large upholstered ottoman in the centre. Does this help?

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A fireplace there would look out of balance. If your FP is only for decorative purposes, how about one like this? Then, you can install it below the tv.

A Rumford design is very shallow, has outward-flaring sides, a back that arches forward, a curve on the underside of the front lintel leading back to a broad slot-like flue with a flue chamber above it. The overall front opening is almost square, sometimes slightly taller than wide. Rumford fireplaces are very distinctive looking. You can get some basic information from this wikipedia article here: https://en.wikipedia.org/wiki/Rumford_fireplace and there is plenty of info online, even ready-made reproductions (more or less accurate). Rumford developed his improvements and published them in the late 1790s, just before fireplace heating was displaced by stove heating (a process already well underway when Rumford developed his improvements). Good luck with your whatever you decide to do.