What are two words that best describe you?
Not you, but "me," right? :]
Being interested in cultural interactions, I am grateful to have resided in Hong
Kong. I am able to see how beautifully Western and Eastern cultures can
complement one another.
... Or am I misunderstanding the sentence?
I have a strong conviction
that women are every bitThis part is unnecesssary :] as capable as men.
I am determined to become who I wanted to be
I eagerly await your response.
I'm a little uneasy about the conclusion though... I don't think you explained very well who you want to be. Overall, the letter is nice, but you can improve it by adding a specific experience or two to support your virtues rather than saying how you view things... Do you sort of understand what I mean? :]
Also, I think you can scratch the last sentence... to me, it feels a little out of place and tone... Maybe you can continue your voice: "I hope to discover the words that describe you." or something like that.