Just a friendly observation: you're over-thinking it in this post. Relationships generally go a lot more smoothly if you relax a little and enjoy what is happening instead of calculating every moment of it to deduce what each one means.

Also, quit telling yourself you are bad at dating. There is nothing wrong with being reserved. It's okay to be where you are at. You shouldn't worry about what others say; go at the pace that is comfortable to you.

It was not a mistake to ask her out. She was responding really well to you, and you were both obviously very into each other based on how much time you were spending together. You did not know her past relationship history, so that isn't exactly something you can hold yourself accountable for.

Right now she just isn't ready for an official relationship, that's all. For someone who just left an abusive relationship having someone want to solidify things can be really scary, since it was probably a real struggle for her to get out of her last relationship in the first place. Even if it seems you two are already dating, putting a label on that or closing off her space just isn't something she is ready for.

Just keep being a good friend and companion to her. You're basically the same as you were, just without a label. Enjoy it and things will progress when they are ready to.