In a divorce, if my wife has terrible credit, can she get the house?

Simply put, she has only 9-10 months on the job, (but 20 yrs in the industry) 8 years before as her own company that folded. Tax issues with the IRS, A credit rating that is likely down in the 400's if she's lucky, and we are looking at divorce. So, would the court order me to give her the house in the divorce? I'm the only one on the mortgage's, she is though on the deed. My credit is 650's-700's 16 yrs on the job, and generally speaking okay credit history. We have children, and they will need a place to stay of course. I want them. Any help?

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