I'd like to think I would delve into forgotten lore and trafficke with daimons, Fyr style. Sadly I'm far too cowardly for that so probably be a wimpy priestess of Kynareth in some Cyrodiilic grove somewhere
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I would be a Cryomancer because I'm cold as ice, baby.
No, but seriously, I've always thought that if I would be a TES Mage I would be a Cryomancer. Maybe it's due to the fact that I prefer cold temperatures over all and I enjoy eating ice. Maybe these are minor but I dunno, lol.
Easy Shadow mage that uses Shadow Magic
I'd try and do all kinds of weird shit.
So my focus would be on the Conjuration and Alteration schools, though I'd certainly delve into Illusion as well. I'm probably too curious when it comes to things like magic. No doubt I'd likely get myself into problems, but I hope luck would give me some time to at least see a few things to make all the trouble worth it.
I would be a Aeromancer. With some Enchanting. I would carry something cool Like a spear that can push enemies, swing past and cut deep. But the most fun is the Unstoppable force of a Hurricane/Tornado just wrecking everything and everyone. Flying up to just smash back down toppling everything. Truly It is the best type of magic.
I'm a fairly peace-loving person, so I would immediately rule out employing any kind of magic that's more physically offensive like destruction, enchanting, or even conjuration. I would likely stick to the more defensive schools (restoration and alteration). I might occasionally employ illusion, but again would only use defensive spells (eg: clairvoyance, muffle, calm, invisibility, etc.) and only in a pinch. I'm sort of a straight shooter and I respect free will, so I don't love the idea of using manipulation to meddle with people's minds. I prefer verbal persuasion (speeeech!) to mind games. To me that's way more fun.
And I would definitely avoid ever using fury or frenzy or anything like that; I feel like I would have to be pretty hard-pressed to ever use it, and the circumstances would have to be fairly extreme for me to consider it as an option.
So I feel like all that adds up to being a court advisor of some sort. Rulers tend to have at least one mage on hand, and I think that's where I would probably best fit. That or actually working as a healer.