I actually played my Night Elf Mage very similarly to how you just described (except for that her dad was supportive, but because her dad - my main here - had a more open world view because he is an aloof, travel the world type Druid, since, well, that’s what Classic was when I made him).
My Night Elf Mage RP History
She had been a Highborne, but born out of wedlock from a lowborn father, and so was just a civilian without any knowledge or connection with Azshara’s court and those chosen involved with summoning the Legion. After the Sundering she met her father for the first time at Mount Hyjal, only for magic to be banned, and she convinced her father that she had to flee and hide and eventually settled in Starfall Village in Winterspring where she remained for ten-thousand years inconspicuously, focused on Frost magic, and lived a safe, though obviously very dull life.
When Malygos went on a rampage to kill all the mages in the world, her father rushed off to her to make sure she was safe, then went to Northrend to fight in the Nexus War to keep her safe. But then the ban on magic was lifted, and for the first time she was able to come be part of Night Elf society again, only for the Cataclysm to hit and all the efforts that would have to be taken to undo its damages, including serving at the Molten Front, which she did, and has worn the Flamebreaker title ever since. After which, though, her story continued on to Pandaria.
But Blizzard never did anything with the Night Elf Mage story. Asides from some brief appearances in Azshara and Feralas, Night Elf Mages never really got a story in the game. And then by Warlords of Draenor Night Elf Mages were just any other race class combo.
Ultimately my Night Elf Mage ended up being my most progressive character, though, and she was the one who settled on Sunsong Ranch in Pandaria, having found an new home she came to love, because she was never really part of Darnassus, and while Night Elf society had moved on, she herself represented how Night Elves could move on from the norms of what Night Elf society was and emigrate to other parts of the world.
Of course then the Legion came and messed up Pandaria and she ended up at the Broken Isles to help to push the Legion back, only for the Horde to march out the War of the Thorns. And now she’s experienced what the other Night Elf Mages in Elegy did. Bonding with the remaining Night Elves in a way that she didn’t even experience after the Sundering - where she was told she couldn’t be who she was - or even after the Cataclysm, because while then she had helped fight to reclaim and safeguard the Night Elves’ lands, for the War of the Thorns and after, she has been fighting for the Night Elves’ people.