By "not having responsibilities" she means responsibilities to YOU as her husband. She wants to be able to sleep with other men without being responsible to YOU for it. That's what she means. Don't read more into it than that.

You will wake up one day and realize you have detached. After that day happens, you'll find it very easy to follow Gucci's advice. Before that day, it will feel like game playing and it will be painful.

DQ