After residency, depending on what specialty they do, there will be a separate set of rules of how they have to give their time oncall, early surgery times, working holidays etc.
And he needs to trust his instincts if he thinks she's being dishonest. If not, it's better to find out now than to continue with something that isn't satisfying you.
That deal with polygamy explained.
As you can see Also, the fact that she served a mission is evidence of her dedication to the religion.