Status of Women Canada cannot be responsible unless it's a department and actually has some power or has some status behind it, right? I think that's a starting point.
I actually advocate for a phased-in approach: providing supports and resources from the PMO; with Status of Women becoming the main government agency overseeing the process, hopefully as a department; FEWO pressing for supports and resources, including evaluations to demonstrate the effectiveness; and Treasury Board and Privy Council being mandated to reject policies or programs that have not demonstrated GBA in process.
Following that, once it's solidly supported and has adequate resources, then it can be widely applied to policy and programs both locally and globally. Interestingly enough, Canada has been very good at insisting that there be a gender analysis of programs and policies internationally. We've been very good at that. We haven't been as good at doing it domestically.