No, please don't do this. Please, I'm begging you, don't follow the same old balarny that every girl has been since the invention of the term "mary sue". Your main character should not be "super special awesome" and be "the odd one out" at the same time. While it's true that half-breeds can be seen as abominations and are usually abhorred by the rest of the world, please make it a feesable union, rather than human and dragon. How would that even work as far as reproduction? A dragon would probably roast a human for even thinking along those lines. And if it did, somehow, manage to come about, the product of such a union would not look the same as the rest of us or "more magical and special and beautiful" than is really warrented. Also, strictly from a writing point of view, the narrator of a story should never sound as if they're narrating a story. Ever. Your character sounds like she's the one writing the book and, if that's your intention, just stop now. In my opinion, this can work if you: (1) rethink your races, (2) make your character a "less than desirable", (3) really make them the by-product of some unholy union and have them know it, (4) give them a NOT CLICHE reason to hate humans and all humans, (5) have another character involve them in this quest as an individual, against the will of the other humans. This will help you overall, and in my opinion, the best thing to do would be to give the hybrid character an unhappy ending such as falling in love with a quest-mate, but know that they are disgusted by them in some way towards the end. Or something. Anyway, I hope you really take this into account and incorporate it into your story. Everything I've suggested will only make you stronger.