C&T ?
Hey, why not just say "Hi"
or do the DD "What up dog ?"
maybe opinion opener.
If you're walking together for 10 minutes without talking, that's a bit odd.
Get out there and just do it.
Open her, saying "Hey, I've been wanting to get to know you better, and I finally now grew the courage to say that to you." and take it from there.
Maybe even talk about that "Why are we men so easily frightened by physical beauty?" and "I'm starting to realize how beauty isn't the most important thing, so I'm trying to prove this theory a guy told me how beautiful women have just as varied personalities and values as every other person, I figured you might help me realize this concept."
You don't want to continue being so threatened by beauty, as you seem to be right now, that you felt afraid to talk to beautiful women.
It's a belief-change
Cheers.