We need to get something straight. A tribute is a form of showing respect and admiration to your superior, it is not a payment for a session or even her time. Anything you get as a result of a tribute is a bonus.
Tribute to please her. Tribute because your cash belongs in her wallet. Tribute because her needs are more important than yours.
Don't tribute because you want to get off and disappear. You are not paying her to cvm, you're paying her to add some meaning to your pathetic life.