I used to make a lot of emotional decisions based on my gut feelings and intuition, and it took me a great deal of work to get over that and to start thinking about the "optimal course of action" whenever I had important decisions to make. My life has drastically improved, and all of my relationships are more stable and my goals have proved to be more attainable.
But when I try to preach this to people, a lot of them give the same reaction your wife did- and I get annoyed, because I observe them constantly having their feelings hurt, getting frustrated, missing their goals, and feeling stressed out, because they're operating off of anything but "optimal course of action reasoning".
Emotion serves as an indicator, but not as justifiable evidence or information. I still get angry, fearful, heartbroken, elated, etc. but I now spend a great deal of energy trying to make sure that I don't attach my experience of an emotion to a belief that the emotion gives me real, trustworthy information about the true state of the world.
I thought a great deal about this while I was reading "Thinking Fast and Slow" by Daniel Kahneman, which I highly recommend.
Technically that is information! Like, what if instead of feelings, there was this little light and slot on your chest, and at the appropriate time, the light would flash and a little slip of paper came out saying, "It's time to pay more attention to something and then work it out logically!" Wouldn't that be information?
About this I'm right. Technically right. The best kind of right! (Irony left to he reader. Please interpret in the cheeriest possible fashion.)
Point in case, I have a floundering friend who won't take business advice from me or that of a mutual friend of ours, despite the fact that we both founded and operated successful businesses. Frustrating.