Maybe the King’s Speech? It’s a movie about one of the kings of England who stuttered, and his struggle with balancing that with also being king. And it’s a great movie in general! But also I think that she’d probably appreciate hearing your own experiences and emotions around your stutter and how it has impacted your life. Especially if she’s already shown interest in wanting to learn more, it can be a good opportunity to be vulnerable with someone that cares about you! Good luck dude