There can be so many reasons why she is non responsive...The only way to know for sure is really to have a heart to heart conversation with her, be honest and let her know how you feel. Honestly speak to her and ask her why she moves away when you touch her.
Having dated for so many years, i've gone through all the reasons given.
1. Woman wants more then just sex/intimacy in the relationship.
2. Woman is on her period
3. Woman is sick/under the weather
4. Woman has met another man
5. Woman has cheated and has feelings of guilt
6. Man has poor hygiene
7. Man only appears to want to have sex nothing else.
The list goes on and on. I hope this helps, but I really suggest you speak to her about your feelings and see what she says.