Could use a little more info.
How long have you had the female?
How old is she?
Is she fixed?
How old is the male?
Is he fixed?
Did the male get along with other dogs at the rescue?
Did you introduce the two dogs before you brought him home?
Ok my take on it and I'm no expert.
It's about dominance, one dog needs to be submissive and one needs to be dominate.
If the female felt as if the male dog was taking charge she may have put off a so called bad vibe to the male.
Causing the male to act out. After all it's her home can you blame her. (not saying this is the case)
I wouldn't separate the two but I would closely monitor their interactions and intervene when necessary.
If one acts more dominate than the other make that one become the submissive one.
Help to teach it that he/she is not the boss you / your wife are.
Don't hit or yell at the dogs this will not help the situation (not implying that you are)
On another note don't act nervous around them they can pick up on this. Be the boss be calm about it take charge.
In time (I hope) things will settle down.
But what do I know I'm not an expert.
And Bob I would have to disagree, a good amount of the time it's not the dog that has the problem it's the people that have the problem. (Not saying some dogs just aren't right in the head) Some people get dogs thinking it's going to be a cake walk - they have no idea what they are getting into. End result is a dog that has been neglected / mistreated or just not cared for as it should be.
Example: Someone who gets a herding dog as a puppy maybe an Australian Shepherd because they think it's cute.
Well they don't realize this dog needs a job to do / a workout. It's not the dogs fault the owner didn't do enough research to figure out their two bedroom apartment would have been a better fit for a Pekingese. Next thing you know the dog is dropped of at the shelter.
Anyway I'm not trying to get into it with you I just feel there is nothing wrong with adopting the right dog into the right situation.
You should know this you're a dog person right? Sorry for the rant - had a few beers tonight
Anyway best of luck in your situation.
I hope the female heals quickly.