My step-daughter can't abide by my house rules. We clash. Do you think my hubby secretly resents me?

To be honest, most Kids of that age are going through the "I'm right your wrong" stage of life, so I wouldn't get to worked up over that, just say hey this is the rule abid by it or pay the consequences, don't go all EVIL MOM on her tho. As for the dad, he probably gets annoyed if you guys are screaming at one another and he's tired of being put in the middle