Labradoodle Rescue & Goldendoodle Rescue
Cathy, please read the adoption policies: http://doodlerescue.org/notes/DRC_ADOPTION_POLICIES_AND_PROCEDURES
As explained in the link, if there are family members under the age of 16, you must have a completely and securely fenced yard adjacent to and accessible from the house in order to adopt a dog from DRC..
Fenced yards are not required if there are no family members under the age of 16. However, there are some individual dogs who do require a fenced yard regardless of the family. And if it was a decision between between two equally good prospective homes, one with a fenced yard and one without, the fenced yard would most likely win. But it is not a prequisite for adoption.