Just because someone's an Ivy League grad doesn't mean that they're automatically better for you. In India, I know it's hard because your worth is often determined by your education, but it really doesn't have to be that way. My parents came from a place where that was true (Taiwan), and they're a lot happier here in America where your schooling when you were a kid doesn't screw you for life.
My ex-bf is at Stanford for an MBA, and got a big fat inheritance from his grandmother. Doesn't bother me that I've "downgraded" to a guy with only a BS and no rich grandparents, because my current is much better for me.
If you don't want your past shortcomings to haunt you forever, you have to purge the concept of educational identity out of your head.
Also, what Erz said. When my fiancé and I started dating, I figured he liked me better than I liked him, but I realized and acknowledged what he was doing for me, his support, and warmed up to him. I'm not sure if she's open-minded enough to let you in, though. She may continue to think of this whole thing as a mistake or just something to try.