Will apple swamp Iphone SE if it has a dent on the bottom left corner?

My phone has completely shut down it will not turn back on. It is totally unresponsive and all the methods the apple rep has told me to try will not work. I'm finally going to send it in for repair through the mail and hopefully they'll fix it. But will the dent prevent them from swapping the phone all together does anyone know?

I don't think physical damage is a factor. If it needs swapping & you have the money for it, then they would.