The right hand side of the screen is where the cables plug in. It's also where the Shield doesn't like to sit flat on the screen. It's not due to the battery as the screen would be lifting on the left hand side. But the LCD shield is very common to not go on flat when replacing it on a 7/7P/8/8P.
Pull the screen off then take the shield off. And really take your time getting the cable under the shield to sit flat so it doesn't push the shield up. This is also a common cause of a yellow spot where the shield and cables meet.