Her insistence on "oh our benevolent alien creator gods must have so much wisdom for us!" As everyone around her is dying because of said creators is literally comical. She's one note and her one note is stupid.
I mean, she dropped that stance
when people started dying and bad shit was happening and she didn't know how any of it would turn out. They were there to hopefully find answers to the origins of mankind and as humans we're sometimes illogically curious. They were thrilled to the core when they found the star charts, how different civilizations deducted the charts without having any connection themselves.
You can argue that it was dumb of them to go on the expedition but people have different perspectives; to them it was exciting, the potential discoveries they could run into and Weyland hired them and funded everything because he was dying and their discovery to him was a sort of last ditch effort into the hope that whatever they find could provide cures and whatnot. They didn't know they'd run into benevolent beings, just like how in Jurassic Park they were thrilled that they could make dinosaurs but didn't stop to think things completely through.
I don't think it makes a character stupid, but it's easy for we, the audience, knowing that it's a science-fiction thriller that bad shit is going to happen and therefore everything they do is dumb because to us they're obviously heading for trouble, but the characters aren't the audience. At any rate, even if I agreed with what you're saying in general, I still liked Shaw enough to where I wanted this movie to continue her character arc and I was into her more than anyone here.
It's like, if the characters knew they were in a horror film or what they're about to run into they probably wouldn't make some of these decisions. But then, you wouldn't have a film

I don't think this excuse works for everything obviously and there was some legitimately dumb shit in Prometheus, but on a basic character level I thought Shaw was fine. Daniels... give or take.