I am sympathetic for your difficult situation, but it is largely what it is. There is no way getting around the non-routine nature of your case. And non-routine cases tend to take a lot, lot longer time to resolve. Some more than others.
It is not clear how much of my previous responses you have read. You were more than
cutting-it-close.
So sure, the situation is frustrating. To be clear, though, this is not about IRCC failing to properly do its job. And this is likely to be resolved much, much faster than a great deal of civil litigation ordinarily takes. The wheels of justice tend to turn rather slowly. Things tend to go a lot, lot more smoothly, and thus more quickly, when there are NO wrinkles to iron out. Again, you were more than
cutting-it-close. so there are some serious wrinkles to iron out. It is what it is.
I realize how important your employment is to you, but it appears that keeping PR status is also of much importance to you. To the extent one may be incompatible with the other, which of these is the higher priority to you is a personal choice.
In any event, it is not surprising you have encountered some difficulty and non-routine processing, and thus a much longer processing timeline, given the extent of your absences from Canada. As I previously noted,
it appears you were LUCKY IRCC did NOT proceed to process your PRC application sooner. You should not underestimate the risk you have taken.
Remember, some long-term participants here have specifically forecast that your PRC application will be denied and IRCC will begin the process to terminate your PR status. I have concluded otherwise, and stated my reasons, but those views are at least indicative of how seriously you have risked losing status.
So you are hardly in a position to demand expedited processing at this juncture.
This part of your post warrants some clarification:
"The agent told me that I could leave and then apply for a PRTD from the Canadian embassy in the country that I am travelling to, but she is not certain if the Embassy will grant me the visa, and that my second option is to take a visa to the U.S and drive there and that in that way the Canadian immigration will not know that I had left the territory.
I asked her, from what I understand, is as if you are telling me to manipulate the system by going secretly to the U.S( actually I don't have a visa yet), or to travel overseas and get stuck in a country with no way of returning back."
Traveling via the U.S. is NOT "manipulating" the system. Canada does NOT attempt to regulate a PR's international travel. Obviously, a PR with status allowing travel to the U.S. can travel to the U.S. A PR in the U.S. can return to Canada via private land transportation without either a PR card or a PR Travel Document and do so without skirting any Canadian laws or rules or regulations or policies. This is well known and readily understood.
The call centre agent was kind enough to offer a suggestion which many probably would not. Which is to let you know that a PR can enter Canada from the U.S., via a land crossing, without a valid PR card or a PR TD. This is something often observed in this forum. Very often. Again, this does NOT involve skirting any Canadian laws or rules or regulations or policies. This would not be manipulating the system.
There is NO law, regulation, policy, rule, or practice which requires a PR to present a PR card or PR TD in order to enter Canada. On the contrary, a PR does not need to show any particular documentation to enter Canada, but is statutorily entitled to enter Canada . . . of course the PR needs to establish identity and status, regarding which a passport will usually suffice but better to have something also indicating status like the CoPR or an expired PR card, and other Canadian ID can help, like a Canadian drivers license.
To fly to Canada, a PR needs a valid PR card or a PR TD. So the call centre agent appropriately informed you that if you travel abroad you can obtain a PR TD to make the return trip to Canada by air. Of course you must meet the eligibility requirements for a PR TD. Which mostly means, if you apply for a PR TD, you will need to submit documentation with the PR TD application sufficient to:
-- establish identity
-- show you are a PR (copy of CoPR or alternative documentation such as a Verification of Status)
-- show you have met the PR Residency Obligation (show 730+ days in Canada within the five years preceding date of the PR TD application)
I have previously addressed factual-question issues for any PR who has been
cutting-it-close. So sure, given the fact that you have mostly been outside Canada for the last five years, that increases the risk that IRCC will assess the facts in your case with some degree of skepticism. If you can and do readily document more than 730 days presence within the preceding five years, again as of the day you make the PR TD application, odds are good you will receive a PR TD . . . but how long the processing might be will vary considerably with factors like which visa office is involved and just how clear it is you are in compliance with the RO. Even if the PR TD is denied, you then would appeal and be eligible for a special TD to come to Canada pending the appeal.
How long you are abroad during your trip can be a significant factor. Obviously, the longer you are abroad the more it might appear to a total stranger bureaucrat that you actually live abroad, leading to elevated scrutiny and perhaps overt skepticism.
If you can document your 800 plus days in Canada during the last five years, and the trip abroad is not particularly lengthy (and you do not lose too many days due to some falling out of the calculation for being more than five years ago), my GUESS is that the risk of having to appeal a PR TD denial is relatively low. That is, I'd guess you will have no problem getting a PR TD (assuming you properly complete the application and document meeting the RO as of the day you make the application). Probably best to make the PR TD application very soon after arriving abroad. This might actually help propel the processing of your PRC application.
BUT OVERALL your situation is what it is. You did more than
cutting-it-close. So you are in something of a bind. You have some tough decisions to make. This really is
NOT a
who-is-to-blame situation. It is what it is. IRCC has a mandate to enforce the law and regulations. Your situation makes that a NON-routine process.
As for all the other very lengthy immigration related processing times, those have little relationship to your situation. Your PRC application is non-routine for rather obvious reasons.