I'd say give it a shot if that's what you're feeling.
But don't put so much pressure on yourself and especially her. If she isn't opening up to you or is pushing away, there's a trust issue. Not necessarily a trust issue with you, but you have to build someone's trust. It doesn't normally just happen.
If you're that interested, then you're always going to wonder.
Sooner or later, she'll love you as much as we do.