I can personally think of a couple of games, but you seem to infer two requirements that, in my experience, often contradict. As such, I will address the inferred requirements, before I recommend some games.
Utilising the hardware
You report an i7 processor, with 16GB of RAM and a decent graphic card. You also report a 7 channel headphone. This is a fairly decent setup; but I must point out that, in most part, you will not be utilising the full extent of such a rig. I personally study in video game development, and even the programs designed to create games rarely require more than 8GB of RAM. It certainly might help, along side other applications; especially if your daughter intends to stream, at some point.
In regards to the headphones, all games are going to be able to utilise this device. However, as far as I am aware, a 7 channel headphone is quite uncommon. I feel I should add the disclaimer that, in most circumstances, you will be utilising the 7 channel headphone as a higher-quality 2 channel headphone. That is, many games will not specifically split the audio into 7 separate channels; you might notice a higher level of audio quality, but you will likely also only notice a left and right channel.
It is important to address the fact that "Overwatch" is a game that is rated for teenagers. That means that the entertainment software recommendation board have reviewed the entirety of the content provided in said game, and decided that it is not a particularly violent game; it is officially suitable for anyone over the age of 13.
In contrast, "The Elder Scrolls V: Skyrim" has a rating of M15+. It is considerably more violent, including graphical "fatalities" and blood. In my opinion, disallowing "Overwatch" for its violence while allowing "The Elder Scrolls V: Skyrim" is a contradiction. It is entirely possible that your ex-wife is simply unaware of the content in the later game, and would otherwise disallow this game, too.
I make note of this, as this greatly restricts the selection of games that are available. Instead of looking for games with a "T" rating, we have to look for games that offer "no violence"; but the definition of "no violence" is quite broad, in this context. As such, I will recommend games that could be considered "violent", with a short explanation of the included violence. This way, you can make your own mind up, and discuss said games with your ex-wife.
Terraria is constructive 2D platformer, and could easily be described as "Minecraft meets Super Mario". The game is easy to learn, but hard to master; and involves as much crafting and construction as platforming and monster fighting. It is a great game for kids and parents, alike; you could easily find yourself playing this game with your daughter.
The game features cartoon violence, as the player must fight off a variety of monsters, using a variety of weapons. On research, it appears Terraria has not actually won any awards; but this surprises me. The game has an "Overwhelmingly Positive" score, on Steam, and has sold millions and millions of copies. They also still release free updates.
- Developer: Re-Logic
- Genre: Action Adventure RPG
- Release Date: May, 2011
- Rating: T
I only mention Fallout 4 due to your mention of Skyrim. Fallout is a post-apocalyptic RPG, where the main character escapes from a "vault" following all-out nuclear war. The game involves construction and considerable RPG elements, and was built with a newer1 version of the engine used to build Skyrim.
The game includes considerable violence, and as such, is rated M. Again, this is not dissimilar to Skyrim, though there is a greater emphasis on stylised "fatalities". The game has been nominated for and won a considerable number of awards, including "Most Wanted Game" from the 33rd Golden Joystick Awards, and the "People's Choice" "Game of the Year 2015" award.
- Developer: Bethesda
- Genre: RPG
- Release Date: November, 2015
- Rating: M
1 Of course, they re-released Skyrim, using the upgraded engine they used for Fallout 4. If your daughter played Skyrim: Definitive Edition, she would already be familiar with this engine. If not, she would be familiar with its predecessor.
You say that World of Warcraft did not fly, but given the other titles, I wonder if your daughter would have a differant opinion of the latest expansion. Having played World of Warcraft between the first and third expansions, and having only come back as of Legion, I can personally attest to the fact that it is a different game. As soon as you hit the "Legion" content, the game progresses into a more story-driven, cinematic experience. It is worth noting that purchasing the expansion gives you the ability to instantly roll one character as a "level 100" - the level required to experience the new content. Having a character of this level also permits you to create a "Demon Hunter" of the same level, which in turn, is also a new and entertaining experience.
Once again, you have some degree of violence, given the nature of the game. However, it has only been rated T for Teens, by the ESRB. That said, so was Overwatch. Game Informer awarded this game awards for "Best PC Exclusive" and "Best MMO", and I have heard veteran players refer to it as "the best expansion Blizzard ever created". I would personally recommend watching some of the introduction videos, with your daughter, to truly gauge her opinion.
- Developer: Blizzard
- Genre: MMORPG
- Release Date: August, 2016
- Rating: T
Portal is a simple game that was met with a massive critical reception. The player wakes up in a science lab, and is told that they must effectivley perform as a "lab rat" to make it through. The player must navigate a series of puzzles, utilising the "portal gun"; a gun that shoots linked portals. Jump through the blue portal, and you will appear out of the orange portal. Seems simple, but the physics and general style of the game has made this one for the ages. It is fairly short, in comparison with other games; if your daughter enjoys it, I might recommend checking out the sequel.
The game is rated T, and mostly involves references to violence, rather than actual violence. There are turrets that shoot at you, but in contrast with many other games, they are also known to say "I love you". The game has won a considerable amount of awards, including making it onto Times list of greatest video games of all time, and has even spawned a meme through its own popularity. If you have ever heard someone say "the cake is a lie", you can thank Portal.
- Developer: Valve
- Genre: Puzzle
- Release Date: October, 2007
- Rating: T