I envision a clash in the next two to five years between the newly-formed National Women's Hockey League (with the Original Four being New York Riveters, Boston Pride, Buffalo Beauts and Connecticut Whale) and the already-existing Canadian Women's Hockey League (consisting of the Montréal Stars, Brampton Thunder, Calgary Inferno, Toronto Furies and perhaps still the Boston Blades), which already owns the Clarkson Cup, emblem of team supremacy.
Most Olympians already played in the CWHL, but I'm guessing members of Team USA will prefer playing closer to home while the ladies who play for Team Canada will mostly choose to remain in the CWHL. There are exceptions, mostly coming from one's life partner working in another country.
Hopefully they end up merging into one eight-team league, and they can start earning actual salaries (which is not yet the case).
In any event, the NWHL had its inaugural draft this weekend, and released a tear-inducing introductory video: