This is a tough one and maneuvering this strategically as a Man will take both your committed resolve and focus. A few questions to ask yourself will be if you want to stay married to this person and what type of future you want with them and your child, and how much you respect what YOU want.

I'm not an immigration or marriage lawyer/official so verify information as you will. If you can hold out for the submission of the visa paperwork with her as a sponsor it still takes a while for a visa with that two year temporary permanent residency status. You could still become a permanent resident after divorce before the two years is up but must have information to support that the marriage was legitimate from the start. This next submission is usually a few months prior the temporary status expiring. Things to make note of here will be your willingness to hang in there during this time frame so you can be with your child, steps to take to figure out what she did while continuing to accumulate information in regards to any potential infidelity and any potential custody battle is a whole other chess game. As for you not turning in paperwork yet for your visa with her as a sponsor, I'd recommend deleting this post after a day or two after you've received responses that meet your needs.

This situation involves so many angles and analysis so I'd recommend contacting Rollo or Ryan since they have lots of experience and advice through the legal process and maneuvering from a red pill perspective.