As much as I like Egwene, I think what makes her so powerful is not bravery as much as her sense of invulnerability. Egwene doesn't believe she can be harmed or killed, and she's ignorant of the true danger she's in. That's why she's always the one to get collared, hit on the head with a rock, half-killed by Lanfear, captured etc. She's very bad at assessing danger, so she rushes in where angels fear to tread. Luckily she's very powerful as a channeler, or I think she'd be roadkill by now.