@Rei Ann:
Okay cool, I'll check it out now!
Hmm. I think it'd probably work best if your character assumes that he has a different alias on Earth. Maybe we could just call him Tom? And pretend that Tom Hiddleston doesn't exist in this universe? I'll probably still call him Loki in my posts to make things less confusing to read, but I think your character could definitely refer to him as Tom until it's revealed (which is actually pretty quickly, oop) that Tom is actually Loki and Loki is ready to go off and take over the world. :D