They’re Togrutan headtails. The horns are her mantrals and the bottom parts are her Lekku.
Actually, she kind of already looked very human in The Clone Wars show. It could be because we’re so used to her being an animated character only. I think we’ll just have to let her live action look grow on us.
If your only complaints about live action Ahsoka are nitpicks that her nose and chin don’t exactly match a computer generated image, made before they knew of Rosario Dawson’s casting, I would call that a win for the Lucasfilm team. You will never be able to find someone that matches her CG appearance 100%, so they went with an amazing actress that also looks a lot like an older Ahsoka.
I’m not sure your knowledge of Star Wars lore, but Dawson’s Ahsoka looks like “a human woman with some paint markings” because that’s exactly what it is. That is actually what Togrutas look like, human faces with markings and lekku. At the end of the day, that’s all your going to see if you want it to be. But as far as Star Wars live action goes, this is some of the best they’ve done. The two most notable colorful Jedi are Shaak Ti and Aayla Secura, and their makeup would have both looked much worse than Ahsoka’s if the camera had zoomed into their faces as close as it did to Ahsoka in this episode. But they too just look like two women with painted faces to you I guess.