So I watched through the first 7 episodes now. My verdict so far is that while it's pretty, the show so far has been a fairly hot mess.
The order of the plot gets moved around. The Caemlyn visit in Book 1 is skipped, with some of the Tar Valon stuff from Book 2 taking its place instead, and the Logain escort gets bumped up to take a couple of episodes. That's a fairly big whatever for me. If stuff can be moved around for expediency while keeping the overall plot consistent, not a big deal.
Perhaps the single thing that really is annoying from a book reader viewpoint is the Whitecloaks. Aemon Valda gets a major upgrade to a baddie here briefly who is shown to have killed multiple Aes Sedai in the past. The Three Oaths have been very slightly modified in a strange way (it omits the ability of Aes Sedai to use the One Power as a weapon against Dark Friends and creatures of the Dark), but they're still able to use it to protect their own lives. The system of channeling in the books is set-up that if you learn to cast a weave a certain way, you can't unlearn it that way, so if you always need your hands to cast a fireball, you can't unlearn to do it without your hands. But that's never brought up here, outside of one very brief line. That, and the Whitecloaks are allowed to set up literally outside of Tar Valon and torture Perrin. Tar Valon in the books would never have let the Whitecloaks set up shop right outside the White Tower.
About the only thing thing I can think of that the showrunners did by switching stuff around that is really clever is using the dagger from Shadar Logoth as a bait-and-switch. When Mat gets possessed by the dagger, several characters think he's channeling and is the Dragon Reborn and has gone mad, only for it to then be revealed he was possessed instead.
There's some weirdness in here where Perrin is married at the start of the show, only to accidentally kill his wife when fighting Trollocs. It's kind of a 'wait, what' moment, but since they already have him and Egwene going to Tar Valon by way of the Tinkers caravan, it's a moderately useful way of speeding up his character arc about the whole 'hammer vs axe' subplot he had going on in the books.
If I had to say what really annoys me, it's that the showrunners took what was a high fantasy plot, used it for the first few episodes, and then ground it to a halt so they can start to throw in a whole bunch of character development moments. But a lot of those moments are way too hamfisted, and they're frontloading a lot of stuff that happened in earlier books, trying to move the Nynaeve and Lan romance along at hyperspeed and losing all subtlety of Moiraine and Siuan's pillow friends. Also, shoehorning in a strange Egwene/Rand/Perrin love triangle, which is going to be really awkward if both Elayne and Faile show up in the next season.