1 - don't try 2 - you already showed her enough 3 - therapy

Off the subject but...

You are only two months in the relationship with her. You already diagnosed her father as narcissist and you want her to admit that, WTF.

You are forcing her to open up to you, that is unhealthy. Don't know why you ask for advice here, do you think she is a narc?

I'm a people pleasure (pleaser?) - hmm are you?

"I have a strong genuine interest in her wellbeing and emotions" - I believe you do but your words and actions don't match, understand it's 2 months old relationship!

In two months you showed her who you are. If she tells you everything I don't think it will make you happy. In my opinion you want that for selfish reasons and not for her well being as you claim you do. If you don't know how to regain her trust then look at yourself, your actions and understand why you lost her trust in the first place and learn from your mistakes.