Most of the criticism I have heard is with the visual style. The lens flare and the constant Dutch angle, the dark visual style (which is kinda annoying when it red alert and the light get dimmer for dramatic effect when in reality if there is a battle it is more important for the lights to be brighter so that the crew have better visual on what is going on), but I don't pay attention to visuals and I didn't notice those things (with exception of the darker visual style).
The show is ok If you are treating it as a reboot or an extension of the jj Abrams timeline.
the show is going the dark gritty action military route. Although i suspect the contradiction between the Star Trek military and Star Trek the explorers/dipliomat/scientist would be a running theme of the show. I find it interesting that during the battle. One of the crew member who was psychologically damaged by the battle openly panicky said, about how they are not supposed to be engaging in battles as they were meant to explorers, diplomats and not soldiers. I do hope that they unite
I'm waiting for someone to complain that the show is right wing islamophobia. The federation fighting religious fundamentalist, the first officer mention how their fundamentalism Klingons are violent. The admirals accused her of racism/prejudice. She replied about how we shouldn't confuse culture with race. Then the story is set up to show that the federation were a bunch of naive fools and her suspicion was 100% correct
Just replace the word culture with religion and Klingons with Islam and you have a typical alt right talking point and the story was set up to validate her point. I don't mind that direction but I do find it surprising
The show surprised me about how individual focus it is. You expect Star Trek to be an ensemble show where a lot of cast members are important. Here it's basically all about the first officer and to be honest the jury is out whether she can carry the show. Her actions during the episode doesn't make me particularly sympathetic to her
I also have no idea what they are going at having her name "Michael"