If your wife loses her PR due to not meeting the residency obligations you might have to sponsor her again too. I am not sure, but they might consider letting her keep PR on H&C grounds if she had to stay out of Canada to care for your child due to the denied visit visa.
I agree with AllisonVSC. If the PR status of the mother is lost, there is a chance under H&C grounds.
• Are the circumstances that led to the person's remaining outside of Canada compelling and
beyond their control?
• Was the person prevented from returning to Canada? Why? By whom or by what event?
• Are they now returning to Canada at the earliest possible opportunity?
Please see Op 10 : section A28(2)(c) specifically requires consideration of humanitarian and compassionate factors before a
determination can be made that a person has lost their permanent resident status. Only an
Immigration Program Manager, Deputy Program Manager, or Operations Manager is delegated to
make this determination. A determination that humanitarian and compassionate considerations
justify the retention of permanent resident status overcomes any breach of the residency
obligation for the five-year period prior to the determination.
In evaluating humanitarian and compassionate factors, the manager must take into account the
best interests of the children directly affected by any determination of their residency status or
that of their parents.