Thank you.
The minister's decision balances the interests of the person sought against Canada's international obligations. He applies the mandatory and discretionary grounds of refusal in the Extradition Act. If the minister orders surrender, his decision is subject to judicial review in the provincial court of appeal. The decision of the extradition judge is also subject to appeal in the provincial court of appeal.
Finally, if the committal and the surrender order are upheld by the courts, it's possible to seek leave to appeal further to the Supreme Court of Canada.
That's a basic overview of the process.