If she is super shy, it would be best to put some time into making her feel more comfortable and safe whenever she is with you.
Just start by getting closer to her when the both of you are on dates.
Hold her hand from time to time.
Guide her into a room first by occasionally touching the small of her back.
Be protective of her when walking on sidewalks by being the one who walks on the side that is adjacent to the street.
Touch her face gently as the both of you talk from time to time.
The more you do this, the safer you will make her feel.
Eventually, if she truly likes you, she will become comfortable enough to start showing you more affection.