It is odd to me that she would lie to you about it though. I mean if she doesn't want to get on the pill then why doesn't she just tell you that?
I have never had to wait for the results of a pap test before going on the pill. And, they can do paps when you are on your period. They don't recommend it, but they can. But, maybe she didn't want them to do it when she was bleeding, and that is completely understandable.
Of course, she could be going to a doctor that is giving her the runaround, so I am not saying that she is lying. But, it seems very shady to me. Besides pap test results shouldn't take any longer than two weeks. So, she probably would know by now.
It happened this way for me, I called and made an appointment. I went in, had my exam and left with pills in my hand. Of course, I had to wait until I started my next period before I started taking them, but regardless I had my pills in my hand when I left. And my doctor only calls to tell me my pap test results if there is something wrong. If everything checks out alright, they usually don't even call.
So, I dunno. I would straight up ask her about this. If she doesn't want to try the pill then she could try various other methods of birth control.