Sadly, the answer is anything but flattering. From the very start I had a feeling I stumbled upon some third rate Mary Sue self-insert fanfiction, and that feeling did not go away. If anything, it got progressively worse as the series went on. Straight from the start I felt iffy about the protagonists: the very obvious and very cheap pandering to certain more recent mindsets that just had to make this series about three girls, kinda contrasting to the Inuyasha-Miroku-Kouga triangle (where Kouga wasn't even a main character). It doesn't help that none of them is particularly girly, either, in fact one is straight up dressed like a boy in suit and tie, another's just too restrained and more like a strict matron, while the third is sort of a restless, mischievous prankster. The one male character who does appear rather frequently throughout the whole season - looks more feminine than any of the "princesses".
The story isn't exactly anything to write home about, either: instead of a jewel, we're now chasing pearls, fighting mostly monster-of-the-week enemies, while the rhyme and reason for everything remains too obscure for too long, only to come to a messy sort-of-conclusion. No character development to speak of, but hey, at least some of the old favourites show up (not that they've changed all that much despite the timeskip). I'm actually not even sure this entire story adds anything to, or really expands on the original, instead of just existing in its own vacuum. The same goes for the art and sound as well: for a short while it feels nice to settle back into an old atmosphere, but then - that's all. Nothing new there, as if time really did stop somewhere along the way and no image/animation quality, nor battle direction evolved at all in the years since Inuyasha. There's an overhyped first OP song, though. And if going on about comparisons feel pointless, it's unfortunate, but that's just it: you can hardly avoid it, all things considered.
The entire series is baffling. The quality and effort put into it is almost laughably poor across all departments, and consistently so throughout the season. Which season, by the way, is double length - and not only that, but a second season is already confirmed as well. It's baffling to imagine all the money and human resources wasted on a title that's running on nothing but empty nostalgia and some dried-up respect for the creator of an older series. There are too many other anime, with much more potential, that don't even get the 24episode treatment - the constraint serving as catalyst where they do end up buckling under their own weight of inconsistencies and ending up disappointing. Yet, here we have this thing that belongs on a fanfic site, where I wouldn't even touch it with a 10-foot pole, getting all the special treatment, simply because of a name. If it wasn't tied to Inuyasha, it probably would've lasted a total of 12 episodes.
In my opinion, Hanyou no Yashahime is a good showcase for too many things that are wrong with anime.
