iPhone 6 plus bent and cracked

I've got an iPhone 6 plus that I've had for 5 months with AppleCare+. Whilst on holiday I've managed to drop my phone off a 2nd storey balcony resulting in the screen being cracked and coming away from the back panel and the back panel also bending at the top causing the screen to protrude from the casing. It still all works only the screen is unresponsive now meaning it won't recognise any touch at all. As I've already mentioned I have AppleCare+ and this covers me from accidental damage with a service fee of £55. Does anybody know if it's going to cost me £55 considering the damage or will it cost more? And if so, how much more? I'm in the UK and have a genius appointment on Saturday so I'd like to be prepared for the worst lol.