Yes. At times. Her zeal wasn't a problem when they had actual enemy forces to fight. There is a reason why she was leading the company sent to scour middle-earth for any remaining forces. This is how we know your objection silly though. Because you are now moving the goal posts to something else when met with resistance on your first attempt. It isn't just that any commander, even the best, can get to zealous. Now her not caring about her other siblings is the problem.
No amount of writing would please you as long as certain themes were present. Just read your own words. You say she could probably scream at the ice troll and it would die because she is so powerful but are also whining that she was shown to be more powerful then the rest of her company because she was given the "focus" of a fight scene as a main character. Weird, right? Also I never said you disliked it because she was a woman. I've merely said hate with out really defining it so it is refreshing for you to label it yourself even if we can easily assume it.