Am I just a bitch??

My dad has been married 2, almost 3 times. He has a new girlfriend and I like her as a person, but I don’t want to get attached to her at all. My dad is a very tough pill to swallow, especially for his girlfriend or wife. He has an awful porn addiction and sex addiction. He is a very rude person sometimes and can be a little crazy. My step mom that divorced him is my very best friend. He met her when I was about 6 and it took me a long time to come around to her because I got super attached to his previous fiancé that had my brother and then wanted nothing to do with us. I don’t know the full story there, but her leaving was hard on me. My biological mother I still love dearly and I lived with her till I was 18, but she was crazy abusive in all ways besides sexual. After I finally came around to my step mom and she had my little sister she was instantly like the mom I never had and always wanted. She’s still that way to me today and I am 22. I just have a feeling my dad’s new woman won’t be sticking around forever. My step mom says my dad changes when you marry him. Dating him is great she says, but he changes after marriage. He even pulled a gun on her and my biological mom before each divorce.

Am I just being a complete bitch by not giving this woman a chance or am I right to keep my distance?