Blaming yourself is normal too. But that doesn't make it true. I was much younger than you, and clearly didn't have the option to say no. Did that make it my fault? Rationally obviously not, but it sometimes still feels that way.
Bear in mind that one of the reasons children blame themselves is, weirdly, to preserve hope. If the child convinces themselves it's their fault then, logically, they can do something to stop it happening again. That is a false belief, and very cruel and damaging to the adult they become, but perhaps easier for a child or teenager than facing up to the fact that she was in fact completely powerless and no adult was prepared to help.
These are hard, hard, life-changing realisations to come to terms with, and you need (and have a right to) the proper kind of support. Lots of HCPs don't have experience in this field (GPs have to do paediatrics and obs & Gynae rotations as part of their training, but there's no requirement for them to have psychiatric experience, despite the fact that more than 50% of GP consultations have some kind of psychiatric component). 
Don't start blaming yourself for the fact that your GP is inexperienced or insensitive. The fact that you (probably) find it difficult to express clearly how hard things are is also not your fault - it's part of the coping mechanism that has got you this far. But it's starting to be counterproductive as a life strategy - there is no shame at all in admitting you need help, even in making a bit of noise and fuss to get it. The reason you need to be assertive and persistent about asking is not because you don't deserve it or because people don't want to help, but because most HCPs aren't experienced enough with trauma to know how to help you best. There are people out there who can and will help, you just need to keep asking and make sure that people understand how bad things really are for you.
Your counsellor may be perfectly nice and all that, but she has clearly pushed you beyond your coping limits, which suggests lack of experience or expertise. You deserve someone who can help you pick up the pieces and help you hold it together while you do this very difficult work. You will get there - you are already protecting your dd and doing your best for her. Try and be as kind to yourself as you would want someone to be to your dd.