Asking for a compliment is like asking for an apology - it means nothing when it's given.
I think the OP just needs to chill. The more you do this, the farther away she will be from you. Just be happy that she is with you. It's not that hard.
Hell, I'm with a beautiful girl that I never thought I would have... Considering this is my first REAL relationship I should say. I'm like the same height as my girlfriend, she is even taller than me when she wears heels. And I'm no multi-millionaire. I'm just an average guy with a girl who would look like she is out of my league. I don't let it bother me. I'm going to live my life how I always have been and not stress out a lot over silly things like compliments to keep me confident and secure. Just having her choose me over all the other guys makes me confident as hell and puts me in a mindstate that I am handsome in some way.
You seem to be an insecure type of person. Why? No idea. But how were you when you weren't dating her? Obviously there is attraction to have her be with you so you don't need to go fishing for compliments.