Cold As Ice Levi X Erwin

(!SPOILERS IF YOU HAVENT READ THE MANGA!!)
(!!!)
Erwin smith, has secluded him self from the world after the Trost terrorist incident, costing him an arm as well as scaring up the right side of his body.
Self conscious about his disability, Erwin limited himself down to two friends, Hange, who was a bit of a freak and Mike. Another freak.
Maybe it's time to add another.
For an outing, (which is what friends do, right?) Hange takes her fellow freaks, to an ice skating rink, to meet..you guessed it. Another freak.
Levi, somewhat snide, barely five foot tall professional ice skater. He too, secludes himself from other people, but for a simpler reason. He just hates everyone. Let's mix Levi and Erwin together to see what happens.