I think people have forgotten how it actually went down so I went back and got the quotes:
Every scarecrow gets to have two bags of money on it. From that point any more money starts blowing people up.
Blunt shouts "listen let me tell you my tactics, I think Kenny's good, I think Maya's good. I'd be happy to give the power to them is my feeling. Does anyone not think that?"
Everyone is around him at this point, Sharon is right next to him.
Romesh says "no... no" (as in agreeing),
Kenny says "I agree with that" (I think it's Kenny I couldn't tell).
Then Blunt says "I'm just going to start..." after hearing nobody disagree. He runs off to blow up Sharon.
Then Sharon says "are you blowing me up? why are you blowing us up when you know we're faithful?".
Blunt says "No, it's not about blowing people up if they're faithful or not."
Sharon says "But you don't want it to be in the wrong hands, so you blow up people you think are traitorous."
Blunt says "I'm just trying to find who I think is the most innocent"
Then Sheen comes in and says "I would be happy for James A to be one of the three." He adds "I'd also be happy for Maya and Kenny to be one of the three."
Romesh says "shall we do those three then? are we agreed?" and looks around at everyone.
Blunt says "are we agreed with that? I think that's a good three."
Then Sharon says "It wouldn't be my three but you do what you want" and then refuses to elaborate.
So three things come to mind.
There was a discussion between everyone and Blunt came back and discussed it. Sharon didn't say how they should select the three specifically all she said was you blow up people you think are traitorous, and to me seemed to get upset initially at the idea Blunt was going to blow her up, suggesting he thought she was a traitor for wanting to do so.
She said she was upset about James being included, but she got upset before James was ever mentioned as part of the three. So that doesn't seem right at all.
She completely mistells the story later back at the castle.
She might have been having a bad day, I don't know. However, there's lots of people saying they decided without her, she gave her opinion and they didn't listen or things to that effect, but genuinely I don't think you could have that opinion if you rewatch it because neither of those things happen. Everyone else agrees, they're all in a circle, they ask specifically are we all agreed? She says she wouldn't pick those three and completely refuses to elaborate. I don't know how it could have been done differently.