Welcome!
It sounds like you are in a co op program. I wonder if you spoke to your school counselor that living with your ill mother is no longer viable if they would have any suggestions or scholarships to help you with housing options? Asking for help is a hard thing, but putting the word out that you need some assistance could lead to some options. Do you belong to a church? Maybe a pastor might know of someone who wouldn’t mind sharing a room for very little?
Remember you have this idea that you don’t matter. You probably never came first in your family situation. But you DO matter and you have come far in school! Keep doing the next right thing to stay in school.