Beyond help really. There's too much to fix, she really needs to change a lot of things. tell her to read extensive guides of how to dps properly. As others have said, Rune of Power is a really, really bad choice and she has an awful uptime of it. Invocation is not only better, but it's easier to manage and you can tell her to get addons to track the buff and warn when it's not on.
Mage Bomb uptime should be prioritized so she has above 90% uptime, that's extremely important.
When she tried her Arcane spec, she performed extremely below what she should've, so tell her to stay Frost since it's a lot simpler.
For some reason, I've noticed that a lot of girls (that are underperforming) don't realise that you always have to be casting something. Never take a pause, never spend a second with no GCD or no cast. It's better that she spams Frostbolt if she feels insecure than stand still for a second to think of what she should do. If she's ever insecure on fights with a lot of mobs, just tell her to make sure that Nether Tempest/Living Bomb is up on as many enemies as possible, then just spam the shiny buttons. It does more dps than standing still not knowing what to do, which is what she seems to be doing considering she did 68k dps on your longest try.
I've tried to find a way of being nice in saying that she's bad, but I can't put it any other way than saying she is incredibly bad and wouldn't even pull her weight on Immerseus Flex with that performance. Probably not even Garrosh LFR.
I understand that replacing people is definitely not always an option, not everyone raids for progress, most people raid for fun and to have a good time, but if you don't replace her, it's going to take a long, long time to get her to your level.
You can't ask for advice to tell her later aswell, you will have to get her to ask people for help and get her to want to improve. There's no easy "do this, this and this and you'll have twice the dps" because she's underperforming too badly.
Is it an option for her to reroll elemental shaman or something really simple? Elemental Shamans aren't easy to master, no class is (since it requires not only 100% class knowledge, but you have to be an excellent raider aswell), but they're incredibly easy to play on a medium level. On Galakras, it's just chain lightning until Galakras comes if you don't know how to optimize your dps and on single target, you just have to keep Flame Shock up and press a few spells on CD and then spam lightning bolt.
TL;DR, tell her to get help from a mage that knows his stuff. You asking for help on a forum won't get her anywhere, she has to be willing to improve. It doesn't even have to be a good mage, it could be a mediocre one that understands the class.
She needs to become a better raider aswell. (Understand what actually is required to do high dps other than knowing your class)