Bruce would never have sex with Barbara. He would never pursue a romance with Barbara. Flat out. She’s the daughter of his best friend and sometimes father figure (Jim Gordon). She’s the first love of his adoptive son (Dick Grayson). She’s basically his own child, especially given the way he views his sidekicks. Bruce is a man so bound by loyalty and honor that he gave up a normal life in order to rid the city of crime in his parents’ memory. Do you honestly think he’d hurt three people closest to him by interacting with Barbara Gordon in that way?