Not with current rules, no you will not be approved.
You say she is a PSW which is TEER 4. What is job title? So she needs to match her job responsibilities to her job letter from your employer. Each NOC has different responsibilities.
44101 is home support worker which is a PSW. A nursing aide is not a PSW. You match her job duties with the NOC. The job duties are different.
Get consultation from an immigration lawyer or consultant to match your job to the NOC. This is a volunteer site so seek professional advice.
They’d only be considered a home supper worker if working for an individual in their home not an institutional setting.
If your spouse is graduating assume there is a good chance may have already lined up a nursing job which could be also used.
