The impression shapes our nature
Obviously, when it comes to the talking subject of superheroes, boys are always the more exciting ones in our childhood. They admire their power and are wild about acting as one of them when doing the games. In contrast, girls are typically ones who have paid more attention to fairy tale that express friendship, love or whatever sentimental feelings. And when I memorize to consider that if there is a superhero that affects my childhood, or what we say, the formative years, I cannot even remember a superhero’s name except Monkey King, who is the character in one of great Chinese masterpiece and is famous enough for every child in China to know. So the point here is clear. It is definitely not a big part of my childhood and I wasn’t affected by it that much, at least not more than the influence The Little Mermaid had on me.
I conclude the reasons why most of girls, at least in my age, don’t have such deep connect with superheroes are various. One of the reasons is that heroes are always male. And since kids prefer to substitute themselves into the stories they read and imagine that they are the protagonists, the fact of less or no female superheroes in most of stories prevents that action and leads to less sense of emotion resonance. And in some degree, the fact of less or no female superheroes does give us the hint that male should be the ones who protect and female should be the ones being protected. So, does it shape my perception of gender? The answer is yes, though it is not the one and only reason. The one example that impresses me recently is that in the latest movie series of Ironman, the Ironman three, when getting attacked by the enemy, Ironman took off his armor and ordered it to protect his girlfriend, Pepper. And consequently, pepper got no hurt while Ironman almost died. And not to mention that there is only one female hero in The Avengers, the black window, who is clearly not as powerful as the other heroes such as hulk or Ironman. All these sharp contrasts influence our views step by step; making the impression stronger and stronger that male and female have different roles and female should always be protected. This impression takes from generation to generation and all of a sudden, one day, we believe that it is actually in our nature but not in all of these superhero stories which in fact tell us the impression. The articles I used as references more or less express the similar idea.
I have no idea whether this impression will change and whether female can be considered as powerful as male in the future. However, I do believe that female have the potential power to save the world, not in a violent way though.

References
[1] Damon Young “Princesses and superheroes: the consequences of gender roles“ The DRUM.7 September 2012.
[2] Rebecca A. Demarest “Superheroes, Superpowers, and Sexuality” STUDENTPULSE.2110, VLO.2 NO.10