The Doctor of Divinity, D.D. degree is more recognizable as a religious degree. If you will be practicing as a minister, or as a spiritual counselor or teacher, this is a good choice for your doctoral degree. For those who wish to write books and give lectures, a Ph.D. is a great option, as those who have a PhD preferred by publishers and event promoters. Some students choose to get both credentials, and in this case, the second doctorate can be applied for.