This is a really cute space with absolutely no logical place to put the TV. How much space is there to the right of that window? Would it be possible to hang it on the wall there on an articulating arm so it could be pulled out to watch from the couch? Then you might have two chairs facing the sofa to create a conversation area.

And what is that room through the French doors? Would that be a better TV room?

I think you've found the best spot for the sofa. I would add one or two small armchairs or an upholstered bench directly across from the sofa. Clear off the end table next to the door, and put a tall floor lamp on the other side of the sofa. It will keep the doorway more open. An alternative would be using the sofa directly across from the TV so the back creates a hallway from the door, with armchairs on either side facing into the grouping. But you would likely need to move your small white chest. You would want room to walk into the seating area from both sides of the sofa.

Have you tried putting the couch across from the window in the front of the house and the TV in front of that window?