Does my gf seem like the type that would cheat?

Well, no one could possibly give a definately answer if she is or would cheat on me. So I'll tell you the kind of person she is, and the little reasons I get suspicious. Sex - I was her first. Never did anything with anyone before me. Even now she's still shy to talk about it. Personality - very calm, nice, loving. She's somewhat of a loner. Goes to college then just goes home and does homework. From what I can tell she views a relationship as something sacred. She's told me before that if I went to a strip club she would consider it cheating. We often talk about our future, kids names etc. Basically we used to talk all the time. We are long distance which doesnt help with my paranoia. Then she started going to community college. She's had very little free time, and therefor less time to talk to me. Sometimes won't text me back for hours and says she was doing homework. She's never lied before. Never done anything to make me think she would cheat. But the nagging thought in the back of my head is always " if she's. It talking to me, then what IS she doing?" I really need to resolve this. The first few times I tried to talk to her about it she was calm about it, told me she would never do it. But after awhile she got very very tired of me asking her all the time. The last thing she said was "after all that I've done for you and for us (gave up going to university because it would have made it harder on us) you still constantly question me. I've done nothing but sacrifice and prove myself to you" So now I can't even talk to her about it without starting an argument. It will just go straight to an argument about me being paranoid or obsessive. Help??

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