I'm a Dog, and I am dating a sheep.

I just started with this relationship with this girl in my class, and already I see conflict. Conflict like, she accuses me of flirting with this girl when she is the one flirting with me, She acts like a kid, I can't seem to have a deep conversation with her, things keep going her way, never once said "I love you" nor declaring me as her boyfriend. There is a part of me that wants to give up and move on. How should I handle this?