I have been a PR living in Canada for 2 years. Here are the facts of my case. I applied under the Conjugal category, my partner and I have a child together who is also a PR and resides with me in Canada. I declared her as a non accompanying common law partner on my PR application because she was in process of finishing school in my home country. Did I apy under the correct category and do you anticipate any issues? Your help would be greatly appreciated.
You applied under the wrong category. You should retract /withdraw and apply for spousal on common law basis. If you were common law before and have remained in a relationship since (even if physically apart) you can still claim common law. (Does your partner have a visa/from visa waiver country?)
Hopefully having declared her as common law before and having a child together should make it a straightforward case. You will still need to show that you resided together (in past) for 12 months continuous, I believe, and that you have maintained relationship since.
Conjugal is for very specific and limited circumstances: where there are legal and immigration barriers to getting married and/or establishing common law. Eg one partner in a country where (for example) cross-religious marriage not allowed and no possibility for that partner to come to Canada (eg visa denied).