The professions are traditionally divinity (https://en.wikipedia.org/wiki/Divinity_(academic_discipline)), medicine, and law, so I don't see how you could remove divinity from the list. When you argue for including nursing as a "professional degree", what you're arguing is that it belongs to the category exemplified by those three instances.
Edit: please see https://en.wikipedia.org/wiki/Profession for the current undestanding of that category.