Absolutely baffling and proof of the power of the worst of the TV home improvement shows I guess. I have worked with good interior designers (not decorators so I guess the difference) most of my adult life and not one has ever tried to sell me on the concept of an accent wall, just to keep up with the Jones and to have one of my own! Not every space needs one. Truth be know, there are better design options for most interiors. Yours does not need one, at least not behind the television where I think you plan to paint it?
You have an awful lot of busy color going on in the furniture on that wall now. Add to that colors displayed on the tv when it is on. If I were you, I would start looking for some nice art you can take with you to your next place for that wall. Buy real stuff from emerging artists and maybe you will end up with a pricelesss collection some day. Or buy nice production prints if you really believe originals are beyond you.
Or play with texture and cover it with some neutral fabric wrapped around foamcore, upholstering stuffing, etc. Or if you think you must splash color on it, buy a couple of programmable LED floodlights or a more elaborate LED color wall washer for the floor. You can change the colors splashed up the wall with infinite variations. Unplug it, pack it up, and move it with you. Here is a rather extreme and simplistic example of wall color light washing. You obviously do not need colors so saturated. You can achieve any combination of RGB too not just the primary transmitted colors shown here.
I also think some of the electrostatic wall vinyl graphics out there right now could be fun on that television wall. Just peel them off when you tire of them or it is time to move.