legal options
I think the question hangs on the legality of the annoying construct as a person.
If she had to go to a different country to be uploaded, and specifically one like you describe the situation to be, then it implies that the mindloading is not legal in the bulk of the world.
Having done that, and suppose the data is sent electronically or covertly out of that country, and the hardware that showed up at your home was sourced from normal in-country suppliers that deliver there. Perhaps some illegal work was still needed to install the mind and produce a functioning AI being in the hardware, so at least part of the equipment went there first, where the robot brain was completed, and then shipped to your home.
The AI being probably has no legal standing as a person under this political climate. Or, perhaps it is more complex and there are some recognized rights given to such beings but it is illegal to create one or traffic in them.
So, the place that sent you the stuff (the main unit housing the AI, anyway) is an illegal robot trafficking den. You should call the police, have the illegal equipment impounded to be traced back to its source. You might keep the speakers and other peripherals if they were shipped directly to you, or they might be taken as evidence.
If the police don't do that and the AI once it exists is granted rights as a being (only the initial destructive scan was illegal and only the people doing it are criminals), it still has no right to compel you to let it stay in your home. Just like any squatter or unwanted house guest, you can show it to the curb, calling the police to escort it off the premises and file a restraining order.
personal relationships
Your wife wants to continue having a friendly relationship with the AI that was her mother. That's no different than a flesh-and-blood person in terms of family dynamics. If anything, being an AI means that she doesn't require hospice care and doesn't need to stay with family, but can become independent. Her transformation freed her from the issues of the mortal flesh! Mom′ (Mom Prime) should go live on her own now that she's able to be independent again.
After taking a long vacation and having mandatory counseling for the newly uploaded, she should settle into her new “life” by getting an apartment in a complex that caters to her kind, making new friends, and then spending quality time with your wife in visits.
There will probably be support groups for family whose loved ones have been uploaded, and ways to get everyone into counseling to discuss the relationship by using the transition as a way in the door.