The first episode seemed very Doctor Who. I was happy. It had everything it needed, for me anyways, including an alien, action, humorous back and forth between the Doctor and the villain, etc.
The second episode was good, but it was very reminiscent of Timeless. Not sure if you've watched that show or not, but it was way, way too close to that. I mean, I liked it, but it felt like a Timeless episode. The wife and I are big Timeless fans, as well, so it was an easy spot. I get that shows can be similar, but that was way too close.
The third episode now, I'm kinda scratching my head. There wasn't anything "alien" about the arachnids. Yes, they were big and scary, but it wasn't alien. And, the way it ended, a "natural" death being trapped in a room and forced to starve to death? That doesn't seem humane at all...
So, trying to figure out if this show is morphing into a generic Sci-Fi (with the same "meh" writing) rather than being the classic Doctor Who that I love. I guess I need to keep watching and not freak out just yet.
I read an article before the series started that indicated that we should expect a new Doctor Who, and that we likely wouldn't see any of the previous villains. So, no Daleks, no Cybermen, etc. If true, that's disappointing to me. I'm hoping that they don't completely remove all previous Doctor Who characters in an attempt to "reinvent" the show with a female Doctor. IMO, they don't need to do that, because Jodie Whittaker is a great Doctor.