Going to go through in bullet points because my thoughts are kind of scattered on this.

1. Immediately confused by the implication that the Doctor killed a bunch of people on life support when he blew the power grid to the hospital.
2. I wish there was more time for us to think that MissBelindaChandra One was utopic before disrupting that perception, even if we know deep down that something has to be wrong for the story to work. The immediacy of a lot of the pacing doesn't give us enough time as an audience to really get to grips with everything and everyone, especially characters that are going to die in two minutes. This is a trend that we saw start in Joy to the World (where we are introduced to side characters less than 10 minutes before their departure) that has been carried on into this series. There's a similar thing with Manny with whom you can tell that they've gone a bit too heavy-handed with the 'Queen Belinda' stuff so early on, to the point where we really didn't need the 'This is all your fault, Queen Belinda' ADRed over during the scene where the base is compromised: the look on his face was enough to convey his hatred to be honest.
3. The AI Generator is a dumb name for an AI Generator, even despite the twist. A lot of the sci-fi-esque names in this are pretty generic and unmemorable, except from the planet name itself being MissBelindaChandra One.
4. I feel like they did a decent job of establishing Belinda's character, she doesn't seem super unique from past companions, but I do prefer her to Ruby already in terms of characterisation, and she does take as much agency as she is afforded early on, which is important. She also reacts semi-realistically to events and revelations. Something feels a bit off about the line delivery but that's nothing we haven't seen in pretty much every episode over the last 7 years. So far this is a pretty good introduction.
5. The pop-culture references don't feel as bad as from what I remember of last year, but 'yass queen' did hurt my soul a bit.
6. Since they said that she is a Queen by name only, I don't understand why they would listen to her when she says not to shoot the rebels, surely they would take her and then also shoot the rebels anyway.
7. Planet of the Incels line made me want to die inside, it was just too much, the implication was quite clear without it.
8. They finally gave him some flaws, yay! And she doesn't like him by the end of the episode. This is a genuinely good jumping off point for the series to come, and I look forward to her challenging him more. And the ending was really ominous.