With enough pushing from the Grits and NDP, as well as the general population, the Tories might cave on it. They're not exactly the most gay or trans-friendly group in the world, but unlike the Republicans, they don't actually run on overt anti-LGBT platforms, nor is there such a significant opposition to LGBT rights up here. As such, the Conservatives are much more likely to let these kinds of bills pass in Parliament.
That being said, I wouldn't celebrate this just yet. We'll have to wait and see how all of this plays out.