Is it normal to think shame plays a part in gender confusion?

Disclaimer: I have nothing against being transgender/transsexual and speak from an admittedly limited understanding of the subject so bear with me, here.

I feel like many people who are gender confused or wish to be a different gender feel a sense of shame in their own.

A female with masculine tendencies feels like it is shameful for her to be a female (as she has or feels she has a man's mindset) and wishes to be a man/consider herself a man/be treated like a man because it is not right to feel like a male but be a female due to the traits that females are associated with.

I male with feminine tendencies... see the paragraph above.

I say this from the perspective of a female who is told on a regular basis that she is "like a guy" or is a "boy" or "thinks like a guy". It doesn't bother me because I don't feel like there is anything wrong with being a male anymore than there is anything wrong with being a female and well... biologically, I'm a female. I've never felt the need to connect my personality to my physical orientation.

Maybe I'm wrong but although I know that both sexes come with their own biological differences, I feel that one's potential as a person largely depends on them and to a lesser extent, their environment. It never occurred to me that my being a female in any way affected who I can and can't/ should or shouldn't be as a person. This is 2015, biologically we are supposed to reproduce but half of you would rather literally never fuck again than reproduce if you only had those two options, so obviously biology is not as black and white as we love to believe.

I have nothing against people who are trans and yes, it's 100% their business but I'd still like to gain a better understanding of this.