Well, first of all, you need to know that this may not be the right girl for you. You're someone who needs that kind of affection and she isn't giving it to you. That doesn't mean it WON'T work, it just means that you have to be aware that it might not.

She doesn't seem like a bad person or seem like she doesn't love you, she just seems to be one of those shy people. A lot of people don't like to show affection publicly, and find it hard to be intimate at all for that matter. Sometimes it's just because they're shy, and sometimes it's because they're going through the same thing as you. While you feel like you don't deserve her yet you show it to her all the time with the hugs the kisses and the "I love you's", she may have the same problem yet doesn't do these things because she feels like since she doesn't deserve you it would freak you out.

People just deal with things differently, and of course, people are completely different personality wise. I don't know her so I can't tell you whether she just isn't that way (as far as the affectionate type goes) or just is too shy, but the first thing you need to do is sit down and tell her how you feel and let her tell you how she feels. You don't want to force her to be that way but at the same time you need that comfort that it's not that she doesn't love you and that it's just something like what I mentioned above.

Also, if you're in a new relationship you need to give it time as well. Things can change in relationships and as she grows to feel more comfortable with you she might find it easier to show you this affection. But, like I said, first you need to talk with her. And again, if you find out that she doesn't love you the way you'd hoped or that she can't give you that affection she might not be the one for you, but don't ever sell yourself out by saying you don't deserve her.

Wishing you the best.