From what I read you both applied together, you being the main applicant and she the dependent in the application.
From the moment you land to Canada there is no main and no dependent.
You both got your PR and live there, have the same rights, etc. You have no obligation to support her whatsoever.
Any case of alimony has to do with civil court/ divorce laws, not with immigration.
If I were you, and if I would want to keep my PR status, I'd wait a bit with the divorce papers. Simply cause you just landed, and a divorce so soon might revoke both your PRs, not only hers. Unfortunately its a "he says" "she says" situation, so better avoid it if you can.
Once this whole thing is over you can sponsor a new wife, but sponsorship is a different process. You will need to show steady income, tax payments etc. It is a more time-consuming application.
Just keep living your life, do the best you can for yourself and I'm sure a wonderful girl will come around, maybe from your home country, maybe not.