Landlords each have their own criteria for deciding who they will rent to. It is as varied as there are landlords. I'm sure few if any prefer their tenants to have gone through bankruptcy, but it's a fact of life for many Americans in our current economy.
If you are declined, you can offer to increase your deposit, pay several months rent up front or seek out another way to satisfy the landlords concerns. Realize a landlords worst fear is having to evict a tenant. It can take time, cost money and tenants that get evicted rarely treat the property well.
If you went through a temporary tough time and have come out the other side, resolved your issues and can provide a landlord with some reassurances that you will be a good tenant, you should be able to find a nice place to live.