In one of my martial arts classes, I was told a lesson.
A man asked his old and wise martial arts instructor what to do. He took 3 classes a week for 1.5 hrs each in martial arts.
His wife, who apparently felt it a waste of time and thought he wasnt helpimng out enough because he was away for this 4.5 hrs total, gave him the ultimatum of Martial Arts or Me.
The instructor thought for only a second and said "You must choose martial arts". The man, dumbfounded by such a callous answer, asked him to elaborate after he met him in private.
"A woman who will give you an ultimatum has already made up her mind anyways. An ultimatum over something so healthy and fulfilling is very unfair and unwise. Today it is martial arts you give up. In time, you will not have any interests as this process is repeated. So, if you love martial arts, allow her to do what she already plans to do."
I realize this is a bit over the top based on the current topic, but like so many have said, it is your duty to protect the family and yourself. If your wife thinks she can undermine or control that duty, she needs to be set straight. This isn't meant to sound sexist, but if she's not willing to take your sense of duty in the matter seriously, she needs reeducation in the matter.