Thank you for sharing your mother’s situation and question with us.
We can appreciate that you would be concerned about this situation.
In terms of the process when re-entering Canada and whether or not someone is still considered a Canadian Permanent Resident, each time a permanent resident enters Canada, Immigration, Refugees and Citizenship Canada may calculate 5 years back from the date they have entered or re-entered Canada to see if they have fulfilled their residency obligation.
You can find information on the process that is followed when entering Canada in this Immigration, Refugees and Citizenship Canada (IRCC) ENF 23 - Loss of Permanent Resident Status manual.
Here is an excerpt from the manual on what happens at the port of entry here:
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It is important to note that in terms of loss of permanent residency, a person does not lose it until a final determination has been made.
Additionally, we have previously received some information from one of our legal researchers related to entering Canada and being in Canada after not meeting the residency requirements.
According to their research, the five-year time frame set out in the Refugee and Immigrant Protection Act is not static. Rather it is a moveable window that is dependent on the time at which a visa officer examines your situation. Therefore, if a permanent resident cannot fulfill the two-year (730 day) requirement for the five-year time frame starting from when they became a permanent resident, they should remain in Canada until they can satisfy the requirement for another five-year time frame.
The officer cannot choose any five-year time period for consideration, but must always assess the most recent five-year time period (the one immediately preceding examination).
You may want to contact a lawyer who is familiar with Canadian immigration issues for some assistance and additional information regarding your mother’s situation and regarding her options.
I hope this information is helpful. Please let us know if you have further questions and if there is any follow up to your question/situation.