Most Helpful Girl
Give her some time my friend. :)
It's just been 3 weeks and she's probably not ready for the hugging, kissing type of stage. I began kissing my first boyfriend after 6 months of dating.
Right now, I'm dating this amazing guy and we've been together for 4 months and we didn't begin hugging and holding hands until about a month of dating. We haven't kissed yet. I'm not sure when we will.
It's probably because this girl isn't into you as much as you are into her. It took me 6 months to be able to kiss my first bf because I wasn't deeply into him at the beginning of our dating relationship.
In your situation, all you have to do is give it some time and mean while, enjoy spending time each other and doing awesome & fun things together. Then an amazing connection will grow