If somebody asked me several times a day if I wanted to do something THEY wanted me to do, I know I would be feeling pretty anxious and nagged about it. Try to see this from your daughter's point of view. She does not want to use the potty, and makes that clear several times a day. She's got no room to work out the issues on her own, and probably feels pressured, even though you don't make her try it. This would make even most adults put on the brakes.
If you really want to give her some space, which is what I think she probably needs right now, just tell her, ONCE, that you are sure she will want to use the potty, and she will be successful, when she is ready. Then give her time, at least two months, before you bring it up again. Keep using the potty casually yourself. In a couple of months, start the positive pre-training again. A lot of changes happen in kids your child's age over the course of a couple of months, and also a lot of forgetting of traumas and failures.
Meanwhile, keep doing your homework, finding educational articles like this one, which gives "readiness" checklists, plus tips on various training strategies, the best ages to start them, and the advantages and disadvantages of each approach: http://www.parentingscience.com/toilet-training-readiness...