Some good stories can involve some helpless women or helpless men. If so, I have no problem with that.
I think this accusation is often without merit though. I'll use Lara Croft as an example.
Lara was a rich, spoiled girl who wanted to go on adventures for fun. So she asked her parents, and they used their money and influence to let her accompany a top archeologist.
That's a refreshing story to me, and doesn't seem typical for a male character. Lara herself is the driving force behind wanting to go on adventures. It wasn't for revenge or to fight bad guys or anything else originally, she just wanted to do it, and she had the means to make it happen.
Even Indiana Jones originally had certain intentions ("that belongs in a museum"). Batman was created because of an outside force. Lara just found the idea exciting.
And also, exactly what qualities does a woman need to be given to prove they are a woman? Bad characters are bad characters, of either gender. That is a problem. Women not being given enough "proof" of womanhood isn't a problem in my experience.