The Canadian Nuclear Safety Commission, which does report to Parliament but through Natural Resources, is a well-respected international body.
I'm sorry, I don't actually know. I don't think there is a magical solution for just suddenly making everything fine. Perceptions take time to change.
There had been a different deep geologic repository that was proposed at the Bruce site, and there hadn't been sufficient indigenous consultation with that. As a result, people didn't feel comfortable.
The nice thing about the situation, though, is that it's not an urgent problem. It's important. It needs to be dealt with, but it's not an urgent problem in that it needs to be dealt with right now, so if the public consultation winds up halting this process it's not like people are going to be in danger while the conversations continue.
I'm not sure if that fully addresses your question or not.