It will depend on several factors such as income, debt ratio, assets etc and also how much is still owed on the judgement and what type of judgement it is ie: tax lien,etc
Generally, if you have been making payments and will continue to do so for the next two months, those payments may be calculated in the debt ratio. FHA has relatively lenient credit guidelines and will take the entire profile of an applicant into consideration.
Have you been pre-approved yet? Please see my website for some further information.