So because she lives in a country where divorce is not possible ircc will waive the requirement for me to quit my job and go there to become common law ?It is clearly stated by IRCC that employment is not a valid reason preventing a couple from living together.
Your partner is legally married and lives in a country where divorce AND adultery are both illegal, so you obviously have a legal barrier preventing you from going to live with her to become common-law. Completely different from the OP.