C.W.
I'd talk to her about her bf in a casual way that kind of finds out how he treats her. Some people have somewhat of a control streak on certain topics so you have to be specific about that. Her dad could be a bit biased because he's mixed. You said you are building a relationship with her, are you around when her and her bf are together? Sometimes you can sense any hostility or tension between people or can see if he's overly bossy or mean to her. I'd try to be around when the bf is around. Is there a fair at some point where her and her bf can go with y'all? For now I'd just talk to her about her bf.
Have you met him? Generally you can tell if a guy is some thug-wannabe or just a cool guy. It's awesome she's very beautiful, but she'll definitely need guidance so guys don't take advantage of her. Is her mom around or is he a single dad?
Also, he may be (well kinda obvious) racist but how racist is he? Like my dad is a little racist, but with my friend Carlyle (black), my dad wanted me to marry him and stay with him forever because he is such an awesome guy. So a degree of racism is helpful lmao.