Husband Cheated Again, Moved Out, Id Like To Keep My Home

My husband moved out after confessing to having cheated for the third time. He got himself a new apartment and everything. My name is not on the home loan as I was too young (didn't have enough work history) to be on the loan 10yrs ago when the home was purchased. He did force me to quit my job which ended May of 2024. What is the likeliness ill be able to keep my home in the divorce? I'm not sure how any of this works. The home is not paid off.

Edit to add this is in the US in Wyoming