Hello OP. I am a man who has came across your thread, after somehow finding myself here after going down web rabbit holes online. I felt strongly for your situation, so I felt I had to join this site.
I am very sorry for the situation you are in. I am here to tell you - as others have - that you should return to your home immediately. Your wife's demands are completely unreasonable and unacceptable. Using her child's health as a reason in this situation is not okay.
There is obviously premeditation on her part, so it was up to her to make suitable living arrangements in advance. If things weren't good for her, she needed to talk to you.
It is okay to go back on the two weeks you stated you'd stay away for. You are in shock and are allowed to change your mind. There is nothing unvirtuous in doing so. I understand the mental reasoning you have used (which boils down to fear imo - understandable in shock), but it is not the correct decision and can only harm you further.
You can only gain from going back now, and lose from staying away. By going back you are showing your backbone and not willing to kowtow to such ridiculous and selfish demands. By not- the opposite. If she gets angry that you've "gone back on" the two weeks, then that shows she's not a rational adult and someone you want to be with anyway. You are the one that should be angry.
You sound like a kind, sensitive person mate, and this has understandably hit you hard. I really wish you all the all the best with this. Don't let her dictate things moving forward- go back now.