That would all depend on what your budget is after the divorce. I do not think it is a bad idea at all and would love to sit down with you and we can weigh out what is on the market that would fit your wants and needs.
If you do not have interest in some of the outside maintenance that is involved in owning a home maybe a condo would be another option rather than renting.
Jeanette, you should talk to a financial advisor to talk about a budget plan for after the divorce. If you're going to be receiving alimony (which can pay the mortgage) and a lump sum (which can pay the down payment) then it probably does make sense to buy an affordable place to live.