River Song is not The Doctor’s superior, she is not his lesser of any kind, she is his equal. The Doctor likes to talk about himself in the third person sometimes… “Excuse me, Doctor very lost…you never said I was hot?” but then when he has all the time and reason in the world to say, “you’re the woman who married The Doctor,” he instead says, “you’re the woman who married me." She is his equal. She is his wife, and while he may not always agree with her, he always knows when she’s right.
River would know though, River always knew.