A hundred yards. Add in margin of error.
What she wants to do is wrap the improvised equivalent of a heated blanket around her head and shut everything out. There is just too much stuff going on. The fact that she'll probably never get home is coming in maybe third. But lying on the ice would probably just melt a hole, so wearing it like an inconveniently large cape it is.
This is also the first real chance to get the story straight. Can't tell about the magic, but they know Earth contains immortals and are safely assuming that means their species. Whatever it is their species is, which she probably shouldn't ask because they're supposed to be perfectly normal back home. Them and specialty heat-generating synthetic fabrics. And some method of flying, when they can see a complete lack of engine or anything. Probably can't get away with "it just does that" even if that does work for the heat. Great.
The magic components are still in working order. Nothing crucial broke. Just flying away is an option, maybe starting over on more controlled terms. But that would leave these people out in the cold, and if Irissë was serious about an evil that would kill everyone they'll probably need all the help they can get. Which means what, exactly? Amber could fly them over one at a time if there weren't so many of them, or probably help propel a boat if there were seaworthy ones already, but both of those would violate the Statute of Secrecy. Warmth is probably about all she can do. And it's not even all that much warmth. There are appliances that could do it better. This elemental isn't even very specialized for this; it was supposed to be getting rid of heat sometimes and generating it others. But it's not like anyone else is better equipped.
Haring off somewhere else to come back with more warmth-themed elementals? There wouldn't be any guarantee of success, and it'd show too much even if it worked. Ice elementals, though; those could be sent ahead to make something resembling a traversible path. That could conceivably be done secretly, even, with nothing to tie it back to her. Just have to find some spirits powerful enough to matter, somehow, and get them bound, somehow.
At least this one is a solvable problem. She sets down one of the two tokens containing a bound intermediate river spirit. Let it freeze in place, buried enough that non-practitioners won't even see it. And she directs it to flow power through a nearby chunk of ice. Wasteful, but it ought to attract something useful eventually.
Whatever caused the accident, it probably does mean getting home is theoretically possible. But not only does Amber have no idea how, she's got no idea where to even start looking. Universe's revenge for years of thinking it needs fixing, maybe.
In the meantime, privacy is a little important. She practices partitioning thoughts into private and public until it feels as natural as it's likely to get, then goes to find Irissë.