There are no schematics yet for this device but considering you blew this replacing the screen, it's pretty safe to say that this is a backlight coil. It looks identical to the one next to it, which is a 10uH Inductor. The problem here is getting one that's rated properly for current.
The closest proxy is the iPad Air 2 and on that device the coil is rated for 4A. Considering the large screen, these coils are probably rated for even more current draw. The other thing to consider is that if the coil blew, you probably also blew the backlight diode and there is a possibility that the PMIC was damaged as well. Blowing a coil means a lot of juice flowed through that circuit.
At this point, you should consider having this looked at by an experienced micro-solderer (maybe that's you...you don't say if this is a DIY or professional repair).