Because everyone just saw her say it. People pay attention to the Lantarnans around here. Even in the best circumstances of an escape, how long would you last? And you would totally sink the mission.
You put yourselves forwards into this situation where if anything goes seriously wrong you are totally buggered. You can't fight or flee. You simply cannot take these people on in the middle of their power base surrounded by hostiles starting on their terms.
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"Time for a bit of leadership out there," says Doon. "I'd go sort things out..."
You asked, in an insolent tone, a probing question to which she had already given you an answer, to a person you had been told that 'everyone was scared of'. A question to which you could not, if you had thought about it, ever had gotten a useful answer to anyway.
She didn't appreciate it. This is what she does with people she doesn't appreciate. Wow, it's almost as if the Lantarnans aren't very nice people, isn't it?