Usually there are some kind of straps that you use to secure the TV when travelling. They are attached to the wall on each side of the TV and then come together in the front of the screen with a buckle or snap mechanism. If your trailer does not have this, it is easy to make something yourself.
Kevin, Barb and Jake (the Golden/Lab Mix)
East Bolton, Quebec, Canada
2012 Infinity 3640RL
2012 GMC 2500HD Diesel
We never remove ours and we had to do a little off roading to get to the site last weekend and there was no issues. It is bolted on pretty good. Although ours has solid doors that snap in behind to prevent the mirror / TV combo to move. I think you have the same trailer as us...
2012 Ford F150 FX4 Max Tow 5.5' box Ecoboost
2013 Dutchmen 261BHS with Polar Package