It is tradition that the husband is responsible, has an actual duty bound under sin (barring of course extraordinary circumstances, etc.) to provide for his wife so she does not have to work outside of the home – where her duties lie.
This is what I’ve heard from the F.S.S.P. on this issue, and all the details, particular, and how binding particular bits are I have yet to look into. But it is not a matter of opinion for them. It is a matter of the essential roles and nature of the family in tradition, which as we all know in these times has come under assault to the point where people do not even understand the basics and so it is of the highest priority to correct.
We’ve lost a lot of tradition, a whole lot – it should not surprise people to find out they’re missing out on whole swathes of core knowledge. And I would think personality clashes would matter very little compared to acquiring a proper education. It can and normatively should be a good exercise in humility and other virtues.
I do not want to derail this thread, but I want to state this for the record. I wonder how some people would handle working for St. Jean Marie Vianney.