I believe in the foundations I have grown with,
and I have proved myself again and again a well-mannered, intellectual young Muslim woman, and I have practiced my faith and the society in which my faith
subjugates (I think you are using this verb the wrong way... do you mean "is subjugated?" That does not seem correct either. Try to reword it for clarity.
However, this choice strays from the accepted "Muslim" occupation for women, and my parents held on to that idea, for a while.
I assume this means they stopped discouraging you? Do not let gender oppression from less sophisticated times hold you back from achieving your dreams in the 21st century. That would be a tragedy.
My plans for the future are to become the best
(add noun here) I am able to become, regardless of the ties of customs that may hold me back, so it was my job to (persuade my parents to?) agree with my major and my decision.
I found my talents stem from all subjects, but my passion stood in writing and speaking.--- brilliant. I recognize that talent as I read this.
As I read the last paragraph, I am certain that you will be accepted everywhere this essay is read. It's as good as college essays get. Look to the future, and be aware of how times are changing -- it was not that long ago that women in India were expected to commit sati if their husbands died, and it was not that long ago in human history that women were burned as witches... and in conservative Christianity and Islam it is common to expect women to, as is said in Christianity, be obedient to the husband just as the church is obedient to god, and that the husband is to love the wife just as god loves the church. This is clearly gender oppression! And in Islam the women have to wear a burqa for modesty? That would be fine if men did it, too, but they do not. Religion is okay, but gender oppression is not okay, and I hope you do all that is necessary to assert yourself.