This actually comes up in the story at one stage. The biggest problem that Eleise Sinclair (my protagonist) faces is that she tends to throw herself into dangerous situations, even when there are other people who are probably better qualified to help are around, and in one case gets captured, has to be rescued, and is most indignant about it (in another case, she is kidnapped, her compatriots go off to rescue her, only to have her escape on her own and rescue them). Granted this is part of the exigencies of fiction - have a bear chase your hero(ine) up a tree, have her figure out how to get back down again, rinse and repeat - but yeah, subverting the rescue trope is fun.
A point though from your comments. Fiction is not real life. Most people live fairly humdrum lives - they go to work, they raise kids, they party or have quiet nervous breakdowns or do a thousand one other things that are not, in general, all that interesting. The writer's job is to entertain. Heroes are heroes because they have special characteristics, do special things, and deal with life at a faster pace than us mere mortals. That's why the depictions of characters in fiction are usually painted in more vivid colors and broader strokes than real people are, because these characters are in fact idealizations. As I wrote the first draft, one of the things that I realized is that this character, from the perspective of a "peaceful law-abiding citizen", could very well be seen as some crazed psychotic lunatic or a terrorist of the first order. From the perspective in which she operates, what she does is necessary, and for many she also becomes a hero and role model, but there are always other perspectives. Yet from either perspective, she is an interesting character that hopefully will force the reader to think about some hard issues.