Thank you all. A little more info on her not admitting that she is rejecting me: She says, "I am not rejecting you. It's not like I'm saying, 'I don't want to have sex with YOU.' When I say "no" to you, I don't want to have sex with ANYONE. So, I'm not 'rejecting' you. That's something that's just going on in your head."
And yes, I tried to explain to her that, one "no" here or there is not a big deal...but 99.99% "no" is a big deal, and would work its "rejection" magic on the most self-assured person.
She didn't "get it" during the argument...but maybe it sunk in later.