Is it cool for River to read your character's mind? Yes Is it cool for her to talk about it? Yes What might she find there? A lot of anxiety, "I'm worthless I'm going to screw this up but I CAN'T GIVE UP but what if I mess up BUT I CAN'T QUIT BECAUSE THAT'S BAD but what if they don't like it..." That sort of thing :) Beyond that it's just a lot of mundane thoughts about camp, food, friends and the like. She does think about clocks more than your average person, though. And has a very strong desire to be useful. Would your character notice? Nope!
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Is it cool for her to talk about it? Yes
What might she find there? A lot of anxiety, "I'm worthless I'm going to screw this up but I CAN'T GIVE UP but what if I mess up BUT I CAN'T QUIT BECAUSE THAT'S BAD but what if they don't like it..." That sort of thing :) Beyond that it's just a lot of mundane thoughts about camp, food, friends and the like. She does think about clocks more than your average person, though. And has a very strong desire to be useful.
Would your character notice? Nope!