Humanitarian and Compassionate Considerations are for when you're ineligible for any other PR pathway, and possibly inadmissible. If your refugee claim was found to be ineligible then your lawyer may have applied for H&C but they should've consulted you about it before applying as it's not a simple application. (
https://www.canada.ca/en/immigration-refugees-citizenship/services/application/application-forms-guides/humanitarian-compassionate-considerations.html#:~:text=Humanitarian and Compassionate,H&C) considerations.) I'd like to mention that you
cannot apply for H&C if your refugee claim was
rejected, abandoned, or withdrawn, within the last 12 months unless you have a kid who is under 18 who would face hardship or you cannot get adequate health care in your country of origin.
If your refugee claim was found to be ineligible and your lawyer actually applied for H&C you will still be removed from Canada unless you can get a Deferral of Removal from CBSA or a Federal Court Stay of Removal. If your lawyer is doing any of these they must've consulted you first before doing anything.
To know what your status actually is now, ask your lawyer questions like:
1) Was my refugee claim found to be ineligible?
2) Do I have a permanent residence application under humanitarian and compassionate considerations?
3) Did you apply for a Deferral of Removal from CBSA or a Federal Court Stay of Removal?
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