Sorry that the images are slightly blurry, i had to use my camera on my mobile phone so this is the best i can do. Its got like a long thing coming out of its mouth, i presume for feeding. It looks like some form of cockroach
I don't think it's a fungus gnat, it's a bit too chunky to be a fungus gnat, which are very slender and the wing venation looks all wrong for a fly. I'm inclined to agree with jaguarondi on this one, although I've never laundered a moth myself!