Essentially, all the comments above are accurate. Ideally you want nothing between the speakers but real life means most of us don't have room for a dedicated audio shrine. As suggested above, if at all possible, ensure that the speakers are at least several inches in front of the TV; this should minimize most issues if you use a blanket over the TV. Essentially, with a setup like that the only thing that you will be compromising on is depth of the center of the soundstage (it will still be deep but it won't be as deep as it will be to the sides).
I think your setup overall will be fine although you may have to treat the room but that is often the case for any setup.
I think your setup overall will be fine although you may have to treat the room but that is often the case for any setup.