So my daughter wanted to start playing Skyrim as she watches me and thinks its pretty cool. Now when she was watching I did not do anything terrible evil around her ie DB quest line and some of the Daedric quests. I mainly stuck to random exploring or thieves guild/Companions stuff. She is enjoying herself so far and doing really well for herself playing on adept difficulty. I have limited her to the following guests/guest lines due to her age let me know if I missed anything that I can add for her.
-MQ
-Companions
-College of Winterhold
-Thieve guild (nothing truely evil and she wants the Nightingale armor and I already said no to Shadowmere)
-Dawnbreaker Quest as thats not a evil Daedric quest
-Spellbreaker Quest another non Evil Deadic quest
-Civil war
-various misc quests
It's great that you've allowed her to play Skyrim. But I don't understand your logical approach to this. By allowing her to play the MQ, Companions and TG questlnes, she WILL have to kill something at some point of the game. This is particularly true of the MQ which = playing the Civil War.

You'd literally have to buy the 655 page game manual to see which of the "evil" quests you want to censor from her game play. Based on what you said, are you aware of this?
The Companions involves becoming a werewolf (as many of the Companions ARE werewolves). It will also require her to massacre many NPCs in the quest line. There are also some ethically questionable quests which involve violence that are required for advancement in this quest line.
The Mages questline involves a LOT of dungeon crawling and fighting undead/magical creatures.
While the TG questline doesn't sanction killing, there's a 99.99% chance that she'll end up having to do exactly this if her character is low on the stealth. Particualry if her character is low in the sneak skill---a LOT of killing will occur then. Besides the abundance of theft/pickpocketing/swindling involved in this quest line, there is also betrayal (and attempted murder in the final few Nightingale quests). And she'll ultimately have to deal with a Daedra---the Nocturnal--if she wants to get the Nightingale armor.
The Thane mini quests--In order to become a "good" upstanding citizen of Skyrim, many of the Thane quests require acts of violence. The Riften Thane quest requires her to investigate a drug problem (skooma) which will ultimately end in violence. And specifically the Morthal Thane quest in which she'll be required to solve a homicide involving a child. This quest will most likely lead to her becoming a Vampire as she'll be forced to "clean out" a Vampire Coven near the town. And that particular cave has some really disturbing imagery (corpses, bloody skulls,etc). The Solitude Thane quest requires her to fight an undead necromancer. etc etc. Just something to consider there....
And then threre are the numerous side, miscellaneous and dungeon quests that she will inadvertently encounter violence/killing NPCs just from freeroaming and having to interact with other NPCs in the game. I've yet to see a single TES player completely play through any TES game, in which they didn't do something "evil" aka having to kill at least one other NPC for whatever the reason. And that also includes self defense btw--the only way she can kill another NPC without being thrown into jail...
I guess what I'm saying is, there's an obvious reason why this game comes with a Mature 17+ rating. If you're so concerned about protecting her to the more "evil" aspects of game play, then you might want to consider waiting until she's a bit older. It's either that or hanging over her shoulder to monitor every second of her game play.