Besides her looks, what effort is she making that is causing you to like her? If the answer is nothing, then she would have no reason to like her other than to want to sleep with her. She would then be scared and reject every offer you make.
Relationship is a two person effort. Do not expect to be the only one making the effort. Any effort such willingness to walk with you, touch you, spend time with you are indicators of interest. With these indicators, you can than qualify her as some you can like more and potentially date. That is, you can take the risk and advance the relationship closer. If she does not want you touching her, why would she even want to sleep with you. You need to qualify her before you can bring to the next step.
Bottom line: You ability to be successful is not dependent on how you treat her, but how she treats you.