Yes.
A person generally raises the concerns they have. For example, there was a case that took place in Mexico some years ago. The individual was gay, and he was concerned about how he would be treated in prison in Mexico. We ultimately ended up getting an assurance from Mexico about his treatment, and he was not mistreated when surrendered.
A person raises the concern. The minister takes it into account. The minister has to issue written reasons. If his written reasons don't sufficiently address that concern, it can be judicially reviewed—and often a minister's decision is judicially reviewed—and the court would address that. If the court was unsatisfied with the minister's failure to address a fundamental right under the charter, then it would be returned back to the minister for him or her to reconsider that and explain the circumstances.